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

Published Cham : Birkhäuser, [2022] ©2022

Click on the following:
Springer eBooks

Copies

Description 1 online resource (xii, 317 pages) : illustrations Series Operator theory: advances and applications, 2296-4878 ; volume 287 Operator theory, advances and applications ; v. 287. 2296-4878 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 Summary 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 Bibliography Includes bibliographical references and index Notes Online resource; title from PDF title page (SpringerLink, viewed February 11, 2022) Subject Evolution equations. Differential equations, Partial. Ecuaciones en derivadas parciales Ecuaciones de evolución Differential equations, Partial Evolution equations Form Electronic book Author Trostorff, Sascha, author Waurick, Marcus, author ISBN 9783030893972 3030893979

  Permalink