Nonlinear Partial Differential Equations with Applications [electronic resource] by Tomáš Roubíček.

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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
Uniform Title:International Series of Numerical Mathematics, 2296-6072 ; 153
Main Author: Roubíček, Tomáš (Author)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
Edition:2nd ed. 2013.
Series:International Series of Numerical Mathematics, 153
Subjects:
Difference equations.
Functional equations.
Differential equations.
Mathematics—Data processing.
Numerical analysis.
Online Access:
Springer English/International eBooks 2013 - Full Set: 2013 (Springer Link)
Format: Electronic eBook
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.