WorldCat Identities

Courilleau, Patrick

Works: 2 works in 4 publications in 1 language and 5 library holdings
Roles: Author, Thesis advisor
Publication Timeline
Most widely held works by Patrick Courilleau
Etude de fonctions faiblement p-harmoniques by Patrick Courilleau( )

2 editions published in 1997 in French and held by 3 WorldCat member libraries worldwide

Méthodes de sur et sous-solution pour la résolution des équations aux dérivées partielles non linéaires et contrôlabilité by Ferid Beldi( Book )

2 editions published in 2010 in French and held by 2 WorldCat member libraries worldwide

This thesis has as subject the study of nonlinear partial differential equations. It also deals with the controllability of some degenerate parabolic equations. In the first chapter, we recall some classical methods for the resolution of certain types of equations involving the p-Laplacian, by using the concept of lower and upper-solutions. These methods have some difficulties, especially in passages to the limit in the nonlinear terms linked to the p-Laplacian. For that we propose in the second chapter to solve such equations by using fixed point method based on the famous theorem of "Browder-Potter" which allowed us to avoid these disadvantages. In the third chapter, we study an evolution problem involving the p-laplacian, we prove existence and uniqueness result, and we obtain results on the asymptotic behaviour of solutions in time according to initial data. In the last chapter, and in order to focus on a nonlinear control problem involving the p-Laplacian, we study the one dimension linear control problem, we expose the results obtained for parabolic problems with degeneracy occurs at the interior of the space domain
Audience Level
Audience Level
  General Special  
Audience level: 0.86 (from 0.82 for Etude de f ... to 0.92 for Etude de f ...)

French (4)