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
Autor principal: Beyer, Horst Reinhard
Formato: Livre numérique
Lenguaje:Anglais
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edición:1st ed. 2007.
Colección:Lecture Notes in Mathematics 1898
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Accès Université d'Orléans
Accès INSA CVL
Nota: L'impression du document génère 298 p.
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Edition sous un autre format:• Beyond partial differential equations, on linear and quasi-linear abstract hyperbolic evolution equations, Horst Reinhard Beyer, 2007, Berlin, Springer, 1 vol. (XIV-283 p.), Lecture notes in mathematics, 3-540-71128-7
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