Beyond partial differential equations on linear and quasi-linear abstract hyperbolic evolution equations

The present volume is self-contained and introduces to the treatment of linear and nonlinear (quasi-linear) abstract evolution equations by methods from the theory of strongly continuous semigroups. The theoretical part is accessible to graduate students with basic knowledge in functional analysis....

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Detalles Bibliográficos
Otros Autores: Beyer, Horst Reinhard, author (author)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer-Verlag [2007]
Edición:1st ed. 2007.
Colección:Lecture notes in mathematics (Springer-Verlag) ; 1898.
Materias:
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009461051506719
Tabla de Contenidos:
  • Conventions
  • Mathematical Introduction
  • Prerequisites
  • Strongly Continuous Semigroups
  • Examples of Generators of Strongly Continuous Semigroups
  • Intertwining Relations, Operator Homomorphisms
  • Examples of Constrained Systems
  • Kernels, Chains, and Evolution Operators
  • The Linear Evolution Equation
  • Examples of Linear Evolution Equations
  • The Quasi-Linear Evolution Equation
  • Examples of Quasi-Linear Evolution Equations.