WorldCat Identities

Mazʹi︠a︡, V. G.

Overview
Works: 364 works in 1,100 publications in 4 languages and 18,167 library holdings
Genres: Biographies  History  Conference papers and proceedings 
Roles: Author, Editor, htt, Honoree, Contributor, Other, Collector, Dedicatee, Creator
Classifications: QA377, 515.353
Publication Timeline
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Most widely held works by V. G Mazʹi︠a︡
Linear water waves : a mathematical approach by N. G Kuznet︠s︡ov( )

11 editions published in 2002 in English and held by 1,928 WorldCat member libraries worldwide

"The book gives a self-contained and up-to-date account of mathematical results in the linear theory of water waves. The study of these waves has many applications, including naval architecture, ocean engineering, and geophysical hydrodynamics." "Linear Water Waves will serve as an ideal reference for those working in fluid mechanics and engineering, as well as a source of new applications for those interested in partial differential equations of mathematical physics."--Jacket
Jacques Hadamard : a universal mathematician by Vladimir Gilelevic Maz'ja( )

29 editions published between 1998 and 2021 in 3 languages and held by 966 WorldCat member libraries worldwide

Hadamard's life is described in a readable and inviting way. The authors humorously weave throughout his jokes and the myths about him. They also movingly recount the tragic side of his life. Stories about his relatives and friends, and old letters and documents create an authentic and colorful picture. The book contains over 300 photographs and illustrations
Sobolev spaces by Vladimir Maz'ya( )

30 editions published between 1980 and 2016 in 3 languages and held by 865 WorldCat member libraries worldwide

Translated from the Russian by Saposnikova, T.O
Sharp real-part theorems : a unified approach by Gershon Kresin( )

23 editions published in 2007 in English and Undetermined and held by 717 WorldCat member libraries worldwide

"This volume contains a coherent point of view on various sharp pointwise inequalities for analytic functions in a disk in terms of the real part of the function on the boundary circle or in the disk itself. Inequalities of this type are frequently used in the theory of entire functions and in the analytic number theory. Rich opportunities are anticipated to extend these inequalities to analytic functions of several complex variables and solutions of partial differential equations."--Jacket
Theory of Sobolev multipliers : with applications to differential and integral operators by V. G Mazʹi︠a︡( )

31 editions published between 2008 and 2012 in English and German and held by 689 WorldCat member libraries worldwide

"The purpose of this book is to give a comprehensive exposition of the theory of pointwise multipliers acting in pairs of spaces of differentiable functions. The theory was essentially developed by the authors during the last thirty years and the present volume is mainly based on their results."--BOOK JACKET
Boundary behavior of solutions to elliptic equations in general domains by Vladimir G Mazʹja( )

8 editions published in 2018 in English and held by 665 WorldCat member libraries worldwide

The present book is a detailed exposition of the author and his collaborators' work on boundedness, continuity, and differentiability properties of solutions to elliptic equations in general domains, that is, in domains that are not a priori restricted by assumptions such as "piecewise smoothness" or being a "Lipschitz graph". The description of the boundary behavior of such solutions is one of the most difficult problems in the theory of partial differential equations. After the famous Wiener test, the main contributions to this area were made by the author. In particular, necessary and sufficient conditions for the validity of imbedding theorems are given, which provide criteria for the unique solvability of boundary value problems of second and higher order elliptic equations. Another striking result is a test for the regularity of a boundary point for polyharmonic equations. The book will be interesting and useful for a wide audience. It is intended for specialists and graduate students working in the theory of partial differential equations
Estimates for differential operators in half-space by I. V Gelʹman( )

6 editions published in 2019 in English and held by 627 WorldCat member libraries worldwide

"Inequalities for differential operators play a fundamental role in the modern theory of partial differential equations. Among the numerous applications of such inequalities are existence and uniqueness theorems, error estimates for numerical approximations of solutions and for residual terms in asymptotic formulas, as well as results on the structure of the spectrum. The inequalities cover a wide range of differential operators, boundary conditions and norms of the corresponding function spaces. The book focuses on estimates up to the boundary of a domain. It contains a great variety of inequalities for differential and pseudodifferential operators with constant coefficients. Results of final character are obtained, without any restrictions on the type of differential oeprators. Algebraic necessary and sufficient conditions for the validity of the corresponding a priori estimates are presented. General criteria are systematically applied to particular types of operators found in classical equations and systems of mathematical physics (such as Lame's system of static elasticity theory or the linearized Navier-Stokes system), Cauchy-Riemann's operators, Schrödinger operators, among others. The well-known results of Aronszajn, Agmon-Douglis-Nirenber and Schechter fall into the general scheme, and sometimes are strengthened. The book will be interesting and useful to a wide audience, including graduate students and specialists in the theory of differential equations"--Back cover
Theory of a higher-order Sturm-Liouville equation by Vladimir Kozlov( Book )

21 editions published between 1997 and 2006 in English and German and held by 579 WorldCat member libraries worldwide

This book develops a detailed theory of a generalized Sturm-Liouville Equation, which includes conditions of solvability, classes of uniqueness, positivity properties of solutions and Green's functions, asymptotic properties of solutions at infinity. Of independent interest, the higher-order Sturm-Liouville equation also proved to have important applications to differential equations with operator coefficients and elliptic boundary value problems for domains with non-smooth boundaries. The book addresses graduate students and researchers in ordinary and partial differential equations, and is accessible with a standard undergraduate course in real analysis
Green's kernels and meso-scale approximations in perforated domains by V. G Mazʹi︠a︡( )

21 editions published in 2013 in English and German and held by 550 WorldCat member libraries worldwide

The main focus of the present text is on two topics: (a) asymptotics of Green's kernels in domains with singularly perturbed boundaries and (b) meso-scale asymptotic approximations of physical fields in non-periodic domains with many inclusions. The novel feature of these asymptotic approximations is their uniformity with respect to the independent variables This book addresses the needs of mathematicians, physicists and engineers, as well as research students interested in asymptotic analysis and numerical computations for solutions to partial differential equations
Sobolev spaces in mathematics by V. G Mazʹi︠a︡( )

29 editions published between 2008 and 2010 in English and held by 516 WorldCat member libraries worldwide

Sobolev spaces become the established and universal language of partial differential equations and mathematical analysis. Among a huge variety of problems where Sobolev spaces are used, the following important topics are in the focus of this volume: boundary value problems in domains with singularities, higher order partial differential equations, local polynomial approximations, inequalities in Sobolev-Lorentz spaces, function spaces in cellular domains, the spectrum of a Schrodinger operator with negative potential and other spectral problems, criteria for the complete integrability of systems of differential equations with applications to differential geometry, some aspects of differential forms on Riemannian manifolds related to Sobolev inequalities, Brownian motion on a Cartan-Hadamard manifold, etc. Two short biographical articles on the works of Sobolev in the 1930's and foundation of Akademgorodok in Siberia, supplied with unique archive photos of S. Sobolev are included. Contributors include: Vasilii Babich (Russia); Yuri Reshetnyak (Russia); Hiroaki Aikawa (Japan); Yuri Brudnyi (Israel); Victor Burenkov (Italy) and Pier Domenico Lamberti (Italy); Serban Costea (Canada) and Vladimir Maz'ya (USA-UK-Sweden); Stephan Dahlke (Germany) and Winfried Sickel (Germany); Victor Galaktionov (UK), Enzo Mitidieri (Italy), and Stanislav Pokhozhaev (Russia); Vladimir Gol'dshtein (Israel) and Marc Troyanov (Switzerland); Alexander Grigor'yan (Germany) and Elton Hsu (USA); Tunde Jakab (USA), Irina Mitrea (USA), and Marius Mitrea (USA); Sergey Nazarov (Russia); Grigori Rozenblum (Sweden) and Michael Solomyak (Israel); Hans Triebel (Germany)
Boundary integral equations on contours with peaks by Vladimir Gilelevič Maz'ja( )

21 editions published between 2009 and 2010 in English and held by 489 WorldCat member libraries worldwide

The purpose of this book is to give a comprehensive exposition of the theory of boundary integral equations for single and double layer potentials on curves with exterior and interior cusps. The theory was developed by the authors during the last twenty years and the present volume is based on their results. The first three chapters are devoted to harmonic potentials, and in the final chapter elastic potentials are treated. Theorems on solvability in various function spaces and asymptotic representations for solutions near the cusps are obtained. Kernels and cokernels of the integral operators
Complex analysis and dynamical systems V : Fifth International Conference on Complex Analysis and Dynamical Systems, May 22-27, 2011, Akko (Acre), Israel by International Conference on Complex Analysis and Dynamical Systems( )

1 edition published in 2013 in English and held by 482 WorldCat member libraries worldwide

Sobolev spaces in mathematics I : Sobolev type inequalities by V. G Mazʹi︠a︡( )

24 editions published between 2008 and 2010 in English and Undetermined and held by 443 WorldCat member libraries worldwide

This volume is dedicated to the centenary of the outstanding mathematician of the XXth century Sergey Sobolev and, in a sense, to his celebrated work On a theorem of functional analysis published in 1938, exactly 70 years ago, where the original Sobolev inequality was proved. This double event is a good case to gather experts for presenting the latest results on the study of Sobolev inequalities which play a fundamental role in analysis, the theory of partial differential equations, mathematical physics, and differential geometry. In particular, the following topics are discussed: Sobolev type inequalities on manifolds and metric measure spaces, traces, inequalities with weights, unfamiliar settings of Sobolev type inequalities, Sobolev mappings between manifolds and vector spaces, properties of maximal functions in Sobolev spaces, the sharpness of constants in inequalities, etc. The volume opens with a nice survey reminiscence My Love Affair with the Sobolev Inequality by David R. Adams. Contributors include: David R. Adams (USA); Daniel Aalto (Finland) and Juha Kinnunen (Finland); Sergey Bobkov (USA) and Friedrich Götze (Germany); Andrea Cianchi (Italy); Donatella Danielli (USA), Nicola Garofalo (USA), and Nguyen Cong Phuc (USA); David E. Edmunds (UK) and W. Desmond Evans (UK); Piotr Hajlasz (USA); Vladimir Maz'ya (USA-UK-Sweden) and Tatyana Shaposhnikova USA-Sweden); Luboš Pick (Czech Republic); Yehuda Pinchover (Israel) and Kyril Tintarev (Sweden); Laurent Saloff-Coste (USA); Nageswari Shanmugalingam (USA)
Analysis, partial differential equations and applications : the Vladimir Mazʹya anniversary volume by Alberto Cialdea( )

12 editions published between 2009 and 2010 in English and held by 438 WorldCat member libraries worldwide

"This volume includes several invited lectures given at the International Workshop "Analysis, Partial Differential Equations and Applications," held at the Mathematical Department of Sapienza University of Rome, on the occasion of the 70th birthday of Vladimir G. Maz'ya, a renowned mathematician and one of the main experts in the field of pure and applied analysis. The topics included in this volume will be particularly useful to all researchers who are interested in achieving a deeper understanding of the large expertise of Vladimir Maz'ya."--Jacket
Elliptic boundary value problems in domains with point singularities by Vladimir Kozlov( Book )

15 editions published between 1997 and 2012 in English and held by 393 WorldCat member libraries worldwide

Spectral problems associated with corner singularities of solutions of elliptic equations by Vladimir Kozlov( Book )

18 editions published between 2000 and 2014 in English and held by 365 WorldCat member libraries worldwide

Differential equations with operator coefficients : with applications to boundary value problems for partial differential equations by Vladimir Kozlov( Book )

22 editions published between 1999 and 2011 in English and German and held by 356 WorldCat member libraries worldwide

"This book is the first systematic and self-contained presentation of a theory of arbitrary order ordinary differential equations with unbounded operator coefficients in a Hilbert or Banach space, developed over the last ten years by the authors. It deals with conditions of solvability, classes of uniqueness, estimates for solutions and asymptotic representations of solutions at infinity. The authors show how the classical asymptotic theory of ordinary differential equations with scalar coefficients can be extended to very general equations with unbounded operator coefficients. By contrast with previous work the authors' approach enables them to obtain asymptotic formulae for solutions under weak conditions on the coefficients of equations. Exposition of abstract results is accompanied by many new applications to the theory of partial differential equations. In Appendix a systematic treatment of the theory of holomorphic operator functions is given."--Jacket
Approximate approximations by Vladimir G Mazʹja( Book )

15 editions published between 1993 and 2014 in English and held by 332 WorldCat member libraries worldwide

Perspectives in partial differential equations, harmonic analysis and applications : a volume in honor of Vladimir G. Maz'ya's 70th birthday by Dorina Mitrea( Book )

8 editions published between 2008 and 2012 in English and held by 292 WorldCat member libraries worldwide

Elliptic equations in polyhedral domains by Vladimir Gilelevič Maz'â( Book )

13 editions published between 2010 and 2014 in English and held by 282 WorldCat member libraries worldwide

 
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Audience Level
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  General Special  
Audience level: 0.43 (from 0.03 for Linear wat ... to 0.87 for Approximat ...)

Linear water waves : a mathematical approach
Covers
Jacques Hadamard : a universal mathematicianSobolev spacesSharp real-part theorems : a unified approachTheory of Sobolev multipliers : with applications to differential and integral operatorsBoundary behavior of solutions to elliptic equations in general domainsEstimates for differential operators in half-spaceTheory of a higher-order Sturm-Liouville equationGreen's kernels and meso-scale approximations in perforated domains
Alternative Names
Mas'ya, Vladimir

Maz'â, V. G.

Mazʹâ, Vladimir Gilelevič 1937-

Mazʹi︠a︡, V. G.

Mazʹi︠a︡, V.G. 1937-

Mazʹi︠a︡, Vladimir 1937-

Mazʹi︠a︡, Vladimir G. 1937-

Mazʹi︠a︡, Vladimir Gilelevich

Mazʹi︠a︡, Vladimir Gilelevich 1937-

Mazia, Vladimir Guilelevitch

Mazia Vladimir Guilelevitch 1937-....

Mazʹja, V. G.

Mazʹja, V.G. 1937-

Maz'ja Vladimir

Mazʹja, Vladimir 1937-

Maz'ja, Vladimir G.

Mazʹja, Vladimir G. 1937-

Maz'ja, Vladimir Gilelevič

Mazʹja, Vladimir Gilelevič 1937-

Maz'ja, Vladimir Gilelevič. [t]

Maz'ja, Vladimir Gilelevich

Maz'ja Vladimir Gilelevich 1937-....

Mazʹja, Vladimir Gilevič 1937-

Mazja, Vladimir Gilevich 1937-

Mazja, W. G.

Mazja, W.G 1937-

Mazja, W. G. (Wladimir G.), 1937-

Mazja, Wladimir.

Mazja, Wladimir 1937-

Mazja, Wladimir G. 1937-

Mazja, Wladimir Gilewitsch 1937-

Mazʹya, V.

Mazʹya, V. 1937-

Mazʹya, V. G.

Mazʹya, V.G. 1937-

Mazʹya, V. G. (Vladimir G.), 1937-

Mazʹya, V. (Vladimir)

Mazʹya, Vladimir

Mazʹya, Vladimir 1937-

Maz'ya, Vladimir G.

Mazʹya, Vladimir G. 1937-

Maz'ya, Vladimir Gilelevich.

Mazʹya, Vladimir Gilelevich 1937-

Mazʹya, Vladimir Gilevich 1937-

Vladimir Gilelevič Maz'ja

Vladimir Gilelevich Maz'ya mathématicien russe

Vladimir Gilelevich Maz'ya svensk matematiker

Vladimir Gilelevich Maz'ya Swedish Mathematician

Vladimir Gilelevich Maz'ya Zweeds wiskundige

Vladimir Maz'ya

Wladimir Gilelewitsch Masja russischer Mathematiker

Мазья В.Г.

Мазья, В. Г. (Владимир Гилелевич)

Мазья Владимир Гилелевич

Мазья, Владимир Гилелевич 1937-

ولادیمیر مازیا

ڤلاديمير جيليليڤيتش ماز'يا

Languages
English (387)

German (6)

Russian (5)

French (2)