Partial Differential Equations Second Edition

This self-contained textbook offers an elementary introduction to partial differential equations (PDEs), primarily focusing on linear equations, but also providing a perspective on nonlinear equations, through Hamilton--Jacobi equations, elliptic equations with measurable coefficients and DeGiorgi c...

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Bibliographic Details
Main Author: DiBenedetto, Emmanuele
Format: eBook
Language:English
Published: Boston, MA Birkhäuser 2010, 2010
Edition:2nd ed. 2010
Series:Cornerstones
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preliminaries
  • Quasi-Linear Equations and the Cauchy#x2013;Kowalewski Theorem
  • The Laplace Equation
  • Boundary Value Problems by Double-Layer Potentials
  • Integral Equations and Eigenvalue Problems
  • The Heat Equation
  • The Wave Equation
  • Quasi-Linear Equations of First-Order
  • Non-Linear Equations of First-Order
  • Linear Elliptic Equations with Measurable Coefficients
  • DeGiorgi Classes