Elliptic equations : an introductory course / Michel Chipot
Type de document : Livre numériqueCollection : Birkhauser advanced textsLangue : anglais.Éditeur : Basel : Birkhäuser, 2009ISBN: 9783764399818.ISSN: 1019-6242.Sujet MSC : 35-02, Research exposition (monographs, survey articles) pertaining to partial differential equations35J15, PDEs - Elliptic equations and elliptic systems, Second-order elliptic equations
35J60, PDEs - Elliptic equations and elliptic systems, Nonlinear elliptic equations
35J30, PDEs - Elliptic equations and elliptic systems, Higher-order elliptic equations
35B65, Qualitative properties of solutions to partial differential equations, Smoothness and regularity of solutions to PDEsEn-ligne : Springerlink | Zentralblatt
Publisher's description: "The aim of this book is to introduce the reader to different topics of the theory of elliptic partial differential equations by avoiding technicalities and refinements. Apart from the basic theory of equations in divergence form it includes subjects such as singular perturbation problems, homogenization, computations, asymptotic behaviour of problems in cylinders, elliptic systems, nonlinear problems, regularity theory, the Navier-Stokes system, and the p-Laplace equation. Just a minimum on Sobolev spaces is introduced, and work or integration on the boundary is carefully avoided to keep the reader's attention on the beauty and variety of these issues.
"The chapters are relatively independent of each other and can be read or taught separately. Numerous results presented here are original and have not been published elsewhere. The book will be of interest to graduate students and faculty members specializing in partial differential equations.''
There are no comments on this title.