Elliptic Equations: An Introductory Course

• Main Author: Chipot, Michel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2009.
• Series: Birkhäuser Advanced Texts / Basler Lehrbücher
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Partial differential equations.; Analysis.; Partial Differential Equations.

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, homogeniza...

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.