國立高雄大學圖資館 |

登入

回首頁

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

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Evolutionary equationsby Christian Seifert, Sascha Trostorff, Marcus Waurick.
其他題名:	Picard's theorem for partial differential equations, and applications /
作者:	Seifert, Christian.
其他作者:	Trostorff, Sascha.
出版者:	Cham :Springer International Publishing :2022.
面頁冊數:	xii, 317 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Evolution equations.
電子資源:	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 /
LDR:02660nmm a2200349 a 4500 001 619614
003 DE-He213
005 20220202184659.0
006 m d
007 cr nn 008maaau
008 221103s2022 sz s 0 eng d
020 $a 9783030893972$q(electronic bk.)
020 $a 9783030893965$q(paper)
024 7 $a 10.1007/978-3-030-89397-2 $2 doi
035 $a 978-3-030-89397-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377.3 $b .S45 2022
072 7 $a PBKJ $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.353 $2 23
090 $a QA377.3 $b .S459 2022
100 1 $a Seifert, Christian. $3 919986
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.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2022.
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
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Operator theory: advances and applications ; $v v.219. $3 558819
856 4 0 $u https://doi.org/10.1007/978-3-030-89397-2
950 $a Mathematics and Statistics (SpringerNature-11649)