Evolutionary Equations Picard's Theorem for Partial Differential Equations, and Applications /

Evolutionary Equations Picard's Theorem for Partial Differential Equations, and Applications /

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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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Bibliographic Details
Main Authors: Seifert, Christian (Author), Trostorff, Sascha (Author), Waurick, Marcus (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2022.
Edition:1st ed. 2022.
Series:Operator Theory: Advances and Applications, 287
Subjects:
Differential equations.
Differential Equations.
Online Access:Link to Metadata
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Table of Contents:
  • - 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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