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