Elliptic Equations: An Introductory Course (Birkhäuser Advanced Texts Basler Lehrbücher) by Michel Chipot
Elliptic Equations: An Introductory Course (Birkhäuser Advanced Texts Basler Lehrbücher) by Michel Chipot
Birkhäuser; 2009 edition | April 7, 2009 | English | ISBN: 3764399813 | 289 pages | PDF | 2 MB
Birkhäuser; 2009 edition | April 7, 2009 | English | ISBN: 3764399813 | 289 pages | PDF | 2 MB
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, Navier-Stokes system, p-Laplace equation. Just a minimum on Sobolev spaces has been introduced, and work or integration on the boundary has been carefully avoided to keep the reader's attention on the beauty and variety of these issues.