Rabinowitz, Paul H.
Overview
Works:  104 works in 334 publications in 2 languages and 2,696 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, Contributor 
Classifications:  QA3, 517.5 
Publication Timeline
.
Most widely held works about
Paul H Rabinowitz
 Oral history interview with William R. Bennett by William Ralph Bennett( )
Most widely held works by
Paul H Rabinowitz
Extensions of MoserBangert theory : locally minimal solutions by
Paul H Rabinowitz(
)
17 editions published in 2011 in English and held by 453 WorldCat member libraries worldwide
"With the goal of establishing a version for partial differential equations (PDEs) of the AubryMather theory of monotone twist maps, Moser and then Bangert studied solutions of their model equations that possessed certain minimality and monotonicity properties. This monograph presents extensions of the MoserBangert approach that include solutions of a family of nonlinear elliptic PDEs on R[superscript n] and an AllenCahn PDE model of phase transitions."Page 4 of cover
17 editions published in 2011 in English and held by 453 WorldCat member libraries worldwide
"With the goal of establishing a version for partial differential equations (PDEs) of the AubryMather theory of monotone twist maps, Moser and then Bangert studied solutions of their model equations that possessed certain minimality and monotonicity properties. This monograph presents extensions of the MoserBangert approach that include solutions of a family of nonlinear elliptic PDEs on R[superscript n] and an AllenCahn PDE model of phase transitions."Page 4 of cover
Minimax methods in critical point theory with applications to differential equations by
Paul H Rabinowitz(
Book
)
19 editions published between 1986 and 1990 in English and held by 410 WorldCat member libraries worldwide
19 editions published between 1986 and 1990 in English and held by 410 WorldCat member libraries worldwide
Applications of bifurcation theory : proceedings of an advanced seminar by Advanced Seminar on Applications of Bifurcation Theory(
Book
)
25 editions published between 1976 and 1977 in English and held by 403 WorldCat member libraries worldwide
25 editions published between 1976 and 1977 in English and held by 403 WorldCat member libraries worldwide
Analysis, et cetera : research papers published in honor of Jürgen Moser's 60th birthday by
Jürgen Moser(
Book
)
13 editions published between 1990 and 2014 in English and held by 305 WorldCat member libraries worldwide
Analysis, et Cetera
13 editions published between 1990 and 2014 in English and held by 305 WorldCat member libraries worldwide
Analysis, et Cetera
Directions in partial differential equations by
Michael G Crandall(
Book
)
12 editions published between 1987 and 2015 in English and held by 299 WorldCat member libraries worldwide
Directions in Partial Differential Equations
12 editions published between 1987 and 2015 in English and held by 299 WorldCat member libraries worldwide
Directions in Partial Differential Equations
Periodic solutions of Hamiltonian systems and related topics by
Paul H Rabinowitz(
Book
)
19 editions published between 1986 and 1987 in English and held by 239 WorldCat member libraries worldwide
This volume contains the proceedings of a NATO Advanced Research Workshop on Periodic Solutions of Hamiltonian Systems held in II Ciocco, Italy on October 1317, 1986. It also contains some papers that were an outgrowth of the meeting. On behalf of the members of the Organizing Committee, who are also the editors of these proceedings, I thank all those whose contributions made this volume possible and the NATO Science Committee for their generous financial support. Special thanks are due to Mrs. Sally Ross who typed all of the papers in her usual outstanding fashion. Paul H. Rabinowitz Madison, Wisconsin April 2, 1987 xi 1 PERIODIC SOLUTIONS OF SINGULAR DYNAMICAL SYSTEMS Antonio Ambrosetti Vittorio Coti Zelati Scuola Normale Superiore SISSA Piazza dei Cavalieri Strada Costiera 11 56100 Pisa, Italy 34014 Trieste, Italy ABSTRACT. The paper contains a discussion on some recent advances in the existence of periodic solutions of some second order dynamical systems with singular potentials. The aim of this paper is to discuss some recent advances in th.e existence of periodic solutions of some second order dynamical systems with singular potentials
19 editions published between 1986 and 1987 in English and held by 239 WorldCat member libraries worldwide
This volume contains the proceedings of a NATO Advanced Research Workshop on Periodic Solutions of Hamiltonian Systems held in II Ciocco, Italy on October 1317, 1986. It also contains some papers that were an outgrowth of the meeting. On behalf of the members of the Organizing Committee, who are also the editors of these proceedings, I thank all those whose contributions made this volume possible and the NATO Science Committee for their generous financial support. Special thanks are due to Mrs. Sally Ross who typed all of the papers in her usual outstanding fashion. Paul H. Rabinowitz Madison, Wisconsin April 2, 1987 xi 1 PERIODIC SOLUTIONS OF SINGULAR DYNAMICAL SYSTEMS Antonio Ambrosetti Vittorio Coti Zelati Scuola Normale Superiore SISSA Piazza dei Cavalieri Strada Costiera 11 56100 Pisa, Italy 34014 Trieste, Italy ABSTRACT. The paper contains a discussion on some recent advances in the existence of periodic solutions of some second order dynamical systems with singular potentials. The aim of this paper is to discuss some recent advances in th.e existence of periodic solutions of some second order dynamical systems with singular potentials
Functional analysis by
Laurent Schwartz(
Book
)
4 editions published in 1964 in English and held by 229 WorldCat member libraries worldwide
4 editions published in 1964 in English and held by 229 WorldCat member libraries worldwide
Contributions to nonlinear analysis : a tribute to D.G. de Figueiredo on the occasion of his 70th birthday by
Thierry Cazenave(
)
10 editions published in 2006 in English and Undetermined and held by 47 WorldCat member libraries worldwide
This volume represents a broad survey of current research in the fields of nonlinear analysis and nonlinear differential equations. It is dedicated to Djairo G. de Figueiredo on the occasion of his 70th birthday. The collection of 34 research and survey articles reflects the wide range of interests of Djairo de Figueiredo, including:  various types of nonlinear partial differential equations and systems, in particular equations of elliptic, parabolic, hyperbolic and mixed type;  equations of Schrödinger, Maxwell, NavierStokes, BernoulliEuler, SeibergWitten, CaffarelliKohnNirenberg;  existence, uniqueness and multiplicity of solutions;  critical Sobolev growth and connected phenomena;  qualitative properties, regularity and shape of solutions;  inequalities, apriori estimates and asymptotic behavior;  various applications to models such as asymptotic membranes, nonlinear plates and inhomogeneous fluids. The contributions of so many distinguished mathematicians to this volume document the importance and lasting influence of the mathematical research of Djairo de Figueiredo. The book thus is a source of new ideas and results and should appeal to graduate students and mathematicians interested in nonlinear problems
10 editions published in 2006 in English and Undetermined and held by 47 WorldCat member libraries worldwide
This volume represents a broad survey of current research in the fields of nonlinear analysis and nonlinear differential equations. It is dedicated to Djairo G. de Figueiredo on the occasion of his 70th birthday. The collection of 34 research and survey articles reflects the wide range of interests of Djairo de Figueiredo, including:  various types of nonlinear partial differential equations and systems, in particular equations of elliptic, parabolic, hyperbolic and mixed type;  equations of Schrödinger, Maxwell, NavierStokes, BernoulliEuler, SeibergWitten, CaffarelliKohnNirenberg;  existence, uniqueness and multiplicity of solutions;  critical Sobolev growth and connected phenomena;  qualitative properties, regularity and shape of solutions;  inequalities, apriori estimates and asymptotic behavior;  various applications to models such as asymptotic membranes, nonlinear plates and inhomogeneous fluids. The contributions of so many distinguished mathematicians to this volume document the importance and lasting influence of the mathematical research of Djairo de Figueiredo. The book thus is a source of new ideas and results and should appeal to graduate students and mathematicians interested in nonlinear problems
Periodic solutions of Hamiltonian systems : a survey by
Paul H Rabinowitz(
Book
)
15 editions published between 1977 and 1984 in English and Undetermined and held by 20 WorldCat member libraries worldwide
Hamiltonian systems of ordinary differential equations model the motion of a discrete mechanical system when no frictional forces are present. A basic property of such systems is that energy is conserved. Therefore solutions of Hamiltonian systems lie on surfaces of fixed energy. The main result of this paper is a fairly general criterion for such a surface to possess a periodic solution
15 editions published between 1977 and 1984 in English and Undetermined and held by 20 WorldCat member libraries worldwide
Hamiltonian systems of ordinary differential equations model the motion of a discrete mechanical system when no frictional forces are present. A basic property of such systems is that energy is conserved. Therefore solutions of Hamiltonian systems lie on surfaces of fixed energy. The main result of this paper is a fairly general criterion for such a surface to possess a periodic solution
Topological methods in bifurcation theory by
Kazimierz Gęba(
Book
)
7 editions published in 1985 in English and held by 20 WorldCat member libraries worldwide
7 editions published in 1985 in English and held by 20 WorldCat member libraries worldwide
Topological methods, variational methods and their applications : Taiyuan, Shan Xi, P.R. China, August 1418, 2002 by
H Brézis(
)
2 editions published in 2003 in English and held by 13 WorldCat member libraries worldwide
ICM 2002 Satellite Conference on Nonlinear Analysis was held in the period: August 14 18, 2002 at Taiyuan, Shanxi Province, China. This conference was organized by Mathematical School of Peking University, Academy of Mathematics and System Sciences of Chinese Academy of Sciences, Mathematical school of Nankai University, and Department of Mathematics of Shanxi University, and was sponsored by Shanxi Province Education Committee, Tian Yuan Mathematics Foundation, and Shanxi University. Attending the conference were 166 mathematicians from 21 countries and areas in the world with 53 invited speakers and 30 contributors presenting their lectures. This conference aims at an overview of the recent development in nonlinear analysis. It covers the following topics: variational methods, topological methods, fixed point theory, bifurcations, nonlinear spectral theory, nonlinear Schrodinger equations, semilinear elliptic equations, Hamiltonian systems, central configuration in Nbody problems and variational problems arising in geometry and physics
2 editions published in 2003 in English and held by 13 WorldCat member libraries worldwide
ICM 2002 Satellite Conference on Nonlinear Analysis was held in the period: August 14 18, 2002 at Taiyuan, Shanxi Province, China. This conference was organized by Mathematical School of Peking University, Academy of Mathematics and System Sciences of Chinese Academy of Sciences, Mathematical school of Nankai University, and Department of Mathematics of Shanxi University, and was sponsored by Shanxi Province Education Committee, Tian Yuan Mathematics Foundation, and Shanxi University. Attending the conference were 166 mathematicians from 21 countries and areas in the world with 53 invited speakers and 30 contributors presenting their lectures. This conference aims at an overview of the recent development in nonlinear analysis. It covers the following topics: variational methods, topological methods, fixed point theory, bifurcations, nonlinear spectral theory, nonlinear Schrodinger equations, semilinear elliptic equations, Hamiltonian systems, central configuration in Nbody problems and variational problems arising in geometry and physics
Applications of bifurcation theory : proceedings of an Advanced Seminar [on Applications of Bifurcation Theory] conducted
by the Mathematics Research Center, the University of Wisconsin at Madison, Oct. 2729, 1976(
Book
)
1 edition published in 1977 in English and held by 10 WorldCat member libraries worldwide
1 edition published in 1977 in English and held by 10 WorldCat member libraries worldwide
Séminaire sur les équations aux dérivées partielles by Séminaire Equations aux dérivées partielles(
Book
)
1 edition published in 1973 in French and held by 10 WorldCat member libraries worldwide
1 edition published in 1973 in French and held by 10 WorldCat member libraries worldwide
Topological methods in bifurcation theory(
Book
)
2 editions published in 1985 in Undetermined and French and held by 9 WorldCat member libraries worldwide
2 editions published in 1985 in Undetermined and French and held by 9 WorldCat member libraries worldwide
Théorie du degré topologique et applications à des problémes aux limites non linéaires by
Paul H Rabinowitz(
Book
)
3 editions published in 1975 in French and held by 9 WorldCat member libraries worldwide
3 editions published in 1975 in French and held by 9 WorldCat member libraries worldwide
On subharmonic solutions of Hamiltonian systems by
Paul H Rabinowitz(
Book
)
5 editions published between 1979 and 1980 in English and held by 8 WorldCat member libraries worldwide
Some existence results for T periodic solutions of (0.1) were presented in (1) for superquadratic Hamiltonian systems using finite dimensional minimax arguments together with estimates suitable to pass to a limit. An improved existence mechanism was introduced in (2) and applied to some of the superquadratic problems of (1) as well as to several subquadratic cases. It will show here that these problems possess not only one T periodic solutions z sub 1 but infinitely many distinct subharmonic solutions z sub k. A word of caution must be entered at this point. Although z sub k has period kT, it may not be the case that z sub k has minimal (i.e. primitive) period kT. Indeed simple examples show that there may be an upper bound on the minimal period of z sub k
5 editions published between 1979 and 1980 in English and held by 8 WorldCat member libraries worldwide
Some existence results for T periodic solutions of (0.1) were presented in (1) for superquadratic Hamiltonian systems using finite dimensional minimax arguments together with estimates suitable to pass to a limit. An improved existence mechanism was introduced in (2) and applied to some of the superquadratic problems of (1) as well as to several subquadratic cases. It will show here that these problems possess not only one T periodic solutions z sub 1 but infinitely many distinct subharmonic solutions z sub k. A word of caution must be entered at this point. Although z sub k has period kT, it may not be the case that z sub k has minimal (i.e. primitive) period kT. Indeed simple examples show that there may be an upper bound on the minimal period of z sub k
Minimax methods in critical point theory with applications to differential equations : (expository lectures from the CBMS
regional conference ; Miami  Fla., January 913, 1984) by
Paul H Rabinowitz(
Book
)
1 edition published in 1986 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 1986 in English and held by 7 WorldCat member libraries worldwide
Critical point theorems for indefinite functionals by
V Benci(
Book
)
5 editions published in 1979 in English and held by 6 WorldCat member libraries worldwide
A variational principle of a minimax nature is developed and used to prove the existence of critical points of certain variational problems which are indefinite. The proofs are carried out directly in an infinite dimensional Hilbert space. Special cases of these problems previously had been tractable only by an elaborate finite dimensional approximation procedure. The main applications given here are to Hamiltonian systems of ordinary differential equations where the existence of time periodic solutions is established for several classes of Hamiltonians. (Author)
5 editions published in 1979 in English and held by 6 WorldCat member libraries worldwide
A variational principle of a minimax nature is developed and used to prove the existence of critical points of certain variational problems which are indefinite. The proofs are carried out directly in an infinite dimensional Hilbert space. Special cases of these problems previously had been tractable only by an elaborate finite dimensional approximation procedure. The main applications given here are to Hamiltonian systems of ordinary differential equations where the existence of time periodic solutions is established for several classes of Hamiltonians. (Author)
Some Problems in Nonlinear Analysis(
Book
)
6 editions published between 1988 and 1999 in English and held by 6 WorldCat member libraries worldwide
Rabinowitz's research involved developing new methods in the calculus of variations and applying them to a variety of problems in the area of dynamical systems. Souganidis' research involved developing new methods in the area of hyperbolic nonlinear pde and applying them to a variety of problems in phase transitions, mechanics and turbulent combustion
6 editions published between 1988 and 1999 in English and held by 6 WorldCat member libraries worldwide
Rabinowitz's research involved developing new methods in the calculus of variations and applying them to a variety of problems in the area of dynamical systems. Souganidis' research involved developing new methods in the area of hyperbolic nonlinear pde and applying them to a variety of problems in phase transitions, mechanics and turbulent combustion
Topics in the calculus of variations and applications to differential equations by
Paul H Rabinowitz(
Book
)
1 edition published in 1998 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 1998 in English and held by 6 WorldCat member libraries worldwide
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Related Identities
 University of WisconsinMadison Mathematics Research Center Editor
 Stredulinsky, Edward W. (Edward William) 1953 Creator
 Conference Board of the Mathematical Sciences Other Editor
 Zehnder, Eduard 1940 Editor
 Crandall, Michael G. Author Editor
 Turner, Robert E. L. Editor
 Moser, J�urgen 1928 Honoree
 Schwartz, Laurent Author
 North Atlantic Treaty Organization Scientific Affairs Division
 Ambrosetti, A. Author
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Associated Subjects
Air Reduction Company Alfred P. Sloan Foundation Argon lasers Bausch & Lomb Optical Company Bell Telephone Laboratories Bennett, William Ralph, Bifurcation theory Burhop, E. H. S.(Eric Henry Stoneley) Critical point theory (Mathematical analysis) Differentiable dynamical systems Differential equations Differential equations, Elliptic Differential equations, Nonlinear Differential equations, NonlinearNumerical solutions Differential equations, Partial Differential equationsNumerical solutions Duffendack, Ora S.(Ora Stanley), Functional analysis Functional equationsNumerical solutions Global analysis (Mathematics) Hamiltonian systems Heliumneon lasers Homotopy groups Hughes, Vernon W Institute for Defense Analyses Lamb, Willis E.(Willis Eugene), Lasers LasersResearch Maiman, Theodore H Massey, Harrie Stewart Wilson,Sir, Mathematical analysis Mathematical optimization Mathematics Maxima and minima Millman, S.(Sidney), Mitchell, Allan C. G.(Allan Charles Gray), Moser, Jürgen, Nonlinear functional analysis Nonlinear mechanics Nonlinear theories Nyquist, Harry Periodic functions Schawlow, Arthur L., SpectraPhysics (Firm) Topological degree Topological dynamics Townes, Charles H United States.Air Force.Office of Scientific Research United States.Army Research Office Zemansky, Mark Waldo,
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Alternative Names
Paul Rabinowitz American mathematician
Paul Rabinowitz Amerikaans wiskundige
Paul Rabinowitz amerikansk matematikar
Paul Rabinowitz amerikansk matematiker
Paul Rabinowitz matemàtic estatunidenc
Paul Rabinowitz matemático estadounidense
Paul Rabinowitz matematico statunitense
Paul Rabinowitz USamerikanischer Mathematiker
Rabinowitz, P.
Rabinowitz, P. H.
Rabinowitz, P. H. 1939
Rabinowitz, P. H. (Paul H.)
Rabinowitz, Paul
Rabinowitz, Paul 1939
Rabinowitz, Paul H.
Rabinowitz, Paul Henry 1939
Languages