Nonlinear Partial Differential Equations with Applications by Tomáš Roubíček.

This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo-) monotone or accretive operators as fast as possible towards the analysis of...

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Bibliographic Details
Main Author: Roubíček, Tomáš. (Author,
Corporate Author: SpringerLink (Online service)
Format: eBook
Published: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
Edition:2nd ed. 2013.
Series:International Series of Numerical Mathematics, 153
Springer eBook Collection.
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Preface
  • Preface to the 2nd edition
  • Notational conventions
  • 1 Preliminary general material
  • I Steady-state problems
  • 2 Pseudomonotone or weakly continuous mappings
  • 3 Accretive mappings
  • 4 Potential problems: smooth case
  • 5 Nonsmooth problems; variational inequalities
  • 6. Systems of equations: particular examples
  • II Evolution problems
  • 7 Special auxiliary tools
  • 8 Evolution by pseudomonotone or weakly continuous mappings
  • 9 Evolution governed by accretive mappings
  • 10 Evolution governed by certain set-valued mappings
  • 11 Doubly-nonlinear problems
  • 12 Systems of equations: particular examples
  • References
  • Index.