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Evolutionary Equations: Picard's Theorem for Partial Differential Equations, and Applications
Christian Seifert
(Author)
·
Sascha Trostorff
(Author)
·
Marcus Waurick
(Author)
·
Birkhauser
· Paperback
Evolutionary Equations: Picard's Theorem for Partial Differential Equations, and Applications - Seifert, Christian ; Trostorff, Sascha ; Waurick, Marcus
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Synopsis "Evolutionary Equations: Picard's Theorem for Partial Differential Equations, and Applications"
- 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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The book is written in English.
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