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...

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Detalles Bibliográficos
Autor principal: Roubíček, Tomáš (-)
Autor Corporativo: SpringerLink (-)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Basel : Springer Basel 2013.
Edición:2nd ed
Colección:International Series of Numerical Mathematics ; 153.
Springer eBooks.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b32915809*spi
Tabla de Contenidos:
  • 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.