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

Evolutionary Equations Picard’s Theorem for Partial Differential Equations, and Applications

Evolutionary Equations Picard’s Theorem for Partial Differential Equations, and Applications by Christian Seifert, Sascha Trostorff, and Marcus Waurick

Contents of Evolutionary Equations eBook

  • 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
  • Maximal Regularity
  • Non-Autonomous Evolutionary Equations
  • Evolutionary Inclusions

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