Nonlinear partial differential equations with applications

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...

Täydet tiedot

Tallennettuna:
Bibliografiset tiedot
Päätekijä: Roubíček, Tomáš, 1956-
Aineistotyyppi: Livre numérique
Kieli:Anglais
Julkaistu: Basel : Springer Basel 2013.
Cham : Springer Nature
Sarja:International Series of Numerical Mathematics 153
Linkit:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Huomautus: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Nonlinear Partial Differential Equations with Applications, Texte imprimé, 9783034805124
• Nonlinear Partial Differential Equations with Applications, Texte imprimé, 9783034805148
• Nonlinear Partial Differential Equations with Applications, Texte imprimé, 9783034807685
Sisällysluettelo:
  • 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.