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Evolutionary equations : Picard's theorem for partial differential equations, and applications / / Christian Seifert, Sascha Trostorff, Marcus Waurick



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Autore: Seifert Christian Visualizza persona
Titolo: Evolutionary equations : Picard's theorem for partial differential equations, and applications / / Christian Seifert, Sascha Trostorff, Marcus Waurick Visualizza cluster
Pubblicazione: Cham, : Springer Nature, 2022
Cham : , : Springer International Publishing AG, , 2022
©2022
Descrizione fisica: 1 online resource (321 pages)
Soggetto topico: Differential equations
Equacions d'evolució
Equacions en derivades parcials
Soggetto genere / forma: Llibres electrònics
Soggetto non controllato: 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
Altri autori: TrostorffSascha <1984->  
WaurickMarcus  
Nota di contenuto: 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
Sommario/riassunto: 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 basic theory of complex analysis are required. Nevertheless, key properties of solutions can be recovered in an elegant manner. Moreover, the strength of this method is demonstrated by a large variety of examples, showing the applicability of the approach of evolutionary equations in various fields. Additionally, a quantitative theory for evolutionary equations is developed. The text is self-contained, providing an excellent source for a first study on evolutionary equations and a decent guide to the available literature on this subject, thus bridging the gap to state-of-the-art mathematical research.
Titolo autorizzato: Evolutionary equations  Visualizza cluster
ISBN: 3-030-89397-9
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996466416103316
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Serie: Operator theory, advances and applications, ; 287.