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, homogeniza...

Ausführliche Beschreibung

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Bibliographische Detailangaben
1. Verfasser: Chipot, Michel, 1949-...., mathématicien
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Schriftenreihe:Birkhäuser Advanced Texts Basler Lehrbücher
Schlagworte:
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Edition sous un autre format:• Elliptic Equations: An Introductory Course, Texte imprimé, 9783764399832
• Elliptic equations, an introductory course, Michel Chipot, Basel, Birkhäuser, Springer [distributor], 2009, 1 vol. (VIII-288 p.), Birkhäuser advanced texts, 978-3-7643-9981-8
Inhaltsangabe:
  • 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.