國立高雄大學圖資館 |

Language: English

Back

Liouville's theory in linear and nonlinear partial differential equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Liouville's theory in linear and nonlinear partial differential equationsby Takashi Suzuki.
Author:	Suzuki, Takashi.
Published:	Singapore :Springer Nature Singapore :2025.
Description:	xv, 589 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Differential equations, Partial.
Online resource:	https://doi.org/10.1007/978-981-95-1975-0
ISBN:	9789819519750$q(electronic bk.)

Liouville's theory in linear and nonlinear partial differential equations
Suzuki, Takashi.

Liouville's theory in linear and nonlinear partial differential equations[electronic resource] /by Takashi Suzuki. - Singapore :Springer Nature Singapore :2025. - xv, 589 p. :ill., digital ;24 cm. - Springer Asia pacific mathematics series,v. 83091-2563 ;. - Springer Asia pacific mathematics series ;v. 8..

1 Spectral Theory -- 2 Surface Theory -- 3 Elliptic Theory: A Classical and Modern Study -- 4 Transformation Theory -- 5 Potentials of Self-Organization: A Fusion.

A variety of theorems named the Liouville property play fundamental roles in modern theory of mathematical analysis. Understanding each of them individually is not so difficult nowadays. What are they pointing toward in their totality, however? This monograph asserts that self-organization may be an answer, searching recent studies on linear and nonlinear partial differential equations. Critical breakthroughs have emerged in accordance with the widely spread classical ideas of J. Liouville in various forms, that is, the spectral, elliptic, surface, and transport theories, in turn. A fusion of them is seen in recently developing research fields-mathematical oncology, non-equilibrium statistical mechanics, dynamical theory, and shape optimization-which taken together may be called the potential for self-organization.

ISBN: 9789819519750$q(electronic bk.)

Standard No.: 10.1007/978-981-95-1975-0doiSubjects--Topical Terms:

189753
Differential equations, Partial.

LC Class. No.: QA377

Dewey Class. No.: 515.353

Liouville's theory in linear and nonlinear partial differential equations
LDR:02059nmm a2200337 a 4500 001 690484
003 DE-He213
005 20251031120449.0
006 m d
007 cr nn 008maaau
008 260409s2025 si s 0 eng d
020 $a 9789819519750$q(electronic bk.)
020 $a 9789819519743$q(paper)
024 7 $a 10.1007/978-981-95-1975-0 $2 doi
035 $a 978-981-95-1975-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377
072 7 $a PBK $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBK $2 thema
082 0 4 $a 515.353 $2 23
090 $a QA377 $b .S968 2025
100 1 $a Suzuki, Takashi. $3 247390
245 1 0 $a Liouville's theory in linear and nonlinear partial differential equations $h [electronic resource] / $c by Takashi Suzuki.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2025.
300 $a xv, 589 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer Asia pacific mathematics series, $x 3091-2563 ; $v v. 8
505 0 $a 1 Spectral Theory -- 2 Surface Theory -- 3 Elliptic Theory: A Classical and Modern Study -- 4 Transformation Theory -- 5 Potentials of Self-Organization: A Fusion.
520 $a A variety of theorems named the Liouville property play fundamental roles in modern theory of mathematical analysis. Understanding each of them individually is not so difficult nowadays. What are they pointing toward in their totality, however? This monograph asserts that self-organization may be an answer, searching recent studies on linear and nonlinear partial differential equations. Critical breakthroughs have emerged in accordance with the widely spread classical ideas of J. Liouville in various forms, that is, the spectral, elliptic, surface, and transport theories, in turn. A fusion of them is seen in recently developing research fields-mathematical oncology, non-equilibrium statistical mechanics, dynamical theory, and shape optimization-which taken together may be called the potential for self-organization.
650 0 $a Differential equations, Partial. $3 189753
650 0 $a Sturm-Liouville equation. $3 274844
650 1 4 $a Analysis. $3 273775
650 2 4 $a Functional Analysis. $3 274845
650 2 4 $a Differential Geometry. $3 273785
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Springer Asia pacific mathematics series ; $v v. 8. $3 1006000
856 4 0 $u https://doi.org/10.1007/978-981-95-1975-0
950 $a Mathematics and Statistics (SpringerNature-11649)

based on 0 review(s)

Multimedia

Multimedia file
https://doi.org/10.1007/978-981-95-1975-0

Reviews

Add a review and share your thoughts with other readers

Export

pickup library