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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
Clasificación:Libro Electrónico
Autor principal: Beyer, Horst Reinhard (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edición:1st ed. 2007.
Colección:Lecture Notes in Mathematics, 1898
Temas:
Acceso en línea:Texto Completo
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.