Elliptic equations: an introductory course
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 …
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- Full title :Elliptic equations : an introductory course / Michel Chipot.
Summary
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.
Read More ↓Edition Statements
- Publication Date:©2009.
Publication Statements
- Publisher(s):Birkhäuser
- Place of Publication:Basel
- Language:eng
- Publication Date:©2009.
The Physical Object
- Description:viii, 288 pages : : illustrations ; : 24 cm
Edition Identifiers
- ISBN:9783764399818, 3764399813, 9783764399825, 3764399821
- oclc:ocn297148433
- LC Classification:QA377
- Dewey Decimal:515.3533
Table of Contents
Basic Techniques -- Hilbert Space Techniques -- A Survey of Essential Analysis -- Weak Formulation of Elliptic Problems -- Elliptic Problems in Divergence Form -- Singular Perturbation Problems -- Asymptotic Analysis for Problems in Large Cylinders -- Periodic Problems -- Homogenization -- Eigenvalues -- Numerical Computations -- More Advanced Theory -- Nonlinear Problems -- L?-estimates -- Linear Elliptic Systems -- The Stationary Navier--Stokes System -- Some More Spaces -- Regularity Theory -- The p-Laplace Equation -- The Strong Maximum Principle -- Problems in the Whole Space.
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