Evolutionary equations : Picard's theorem for partial differential equations, and applications

Evolutionary equations Picard's theorem for partial differential equations, and applications

This open access book provides a solution theory for time-dependent partial differential equations, which classically have not been accessible by a unified method. Instead of using sophisticated techniques and methods, the approach is elementary in the sense that only Hilbert space methods and some...

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Detalles Bibliográficos
Autor principal: Seifert, Christian (-)
Otros Autores: Trostorff, Sascha, 1984-, Waurick, Marcus
Formato: Libro electrónico
Idioma:Inglés
Publicado: Cham Springer Nature 2022
Cham : 2022.
Colección:Operator theory, advances and applications, 287.
Materias:
Differential equations.
Equacions d'evolució
Equacions en derivades parcials
Open Access
Evolutionary equations
Maxwell's equations
Initial Boundary Value Problems
Mathematical Physics
Hilbert space approach
Heat Equation
Wave Equation
Elasticity
Differential Algebraic Equations
Exponential Stability
Homogenisation
Evolutionary Inclusions
Time-dependent partial differential equations
Coupled Systems
Causality
Llibres electrònics
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009654581206719
Tabla de Contenidos:
  • Introduction
  • Unbounded Operators
  • The Time Derivative
  • Ordinary Differential Equations
  • The Fourier-Laplace Transformation and Material Law Operators
  • Solution Theory for Evolutionary Equations
  • Examples of Evolutionary Equations
  • Causality and a Theorem of Paley and Wiener
  • Initial Value Problems and Extrapolation Spaces
  • Differential Algebraic Equations
  • Exponential Stability of Evolutionary Equations
  • Boundary Value Problems and Boundary Value Spaces
  • Continuous Dependence on the Coefficients I
  • Continuous Dependence on the Coefficients II

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