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Evolutionary equationsPicard's theorem for partial differential equations, and applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Evolutionary equationsby Christian Seifert, Sascha Trostorff, Marcus Waurick.
Reminder of title:	Picard's theorem for partial differential equations, and applications /
Author:	Seifert, Christian.
other author:	Trostorff, Sascha.
Published:	Cham :Springer International Publishing :2022.
Description:	xii, 317 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Evolution equations.
Online resource:	https://doi.org/10.1007/978-3-030-89397-2
ISBN:	9783030893972$q(electronic bk.)

Evolutionary equationsPicard's theorem for partial differential equations, and applications /
Seifert, Christian.

Evolutionary equationsPicard's theorem for partial differential equations, and applications /[electronic resource] :by Christian Seifert, Sascha Trostorff, Marcus Waurick. - Cham :Springer International Publishing :2022. - xii, 317 p. :ill., digital ;24 cm. - Operator theory: advances and applications,v. 2872296-4878 ;. - Operator theory: advances and applications ;v.219..

- 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.

Open access.

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.

ISBN: 9783030893972$q(electronic bk.)

Standard No.: 10.1007/978-3-030-89397-2doiSubjects--Topical Terms:

199049
Evolution equations.

LC Class. No.: QA377.3 / .S45 2022

Dewey Class. No.: 515.353

Evolutionary equationsPicard's theorem for partial differential equations, and applications /
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245 1 0 $a Evolutionary equations $h [electronic resource] : $b Picard's theorem for partial differential equations, and applications / $c by Christian Seifert, Sascha Trostorff, Marcus Waurick.
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300 $a xii, 317 p. : $b ill., digital ; $c 24 cm.
490 1 $a Operator theory: advances and applications, $x 2296-4878 ; $v v. 287
505 0 $a - 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.
506 $a Open access.
520 $a 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.
650 0 $a Evolution equations. $3 199049
650 0 $a Differential equations, Partial. $3 189753
650 1 4 $a Differential Equations. $3 285983
700 1 $a Trostorff, Sascha. $3 919987
700 1 $a Waurick, Marcus. $3 750336
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830 0 $a Operator theory: advances and applications ; $v v.219. $3 558819
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