國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Superlinear parabolic problemsblow-u...

Quittner, Pavol.

Superlinear parabolic problemsblow-up, global existence and steady states /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Superlinear parabolic problemsby Prof. Dr. Pavol Quittner, Prof. Dr. Philippe Souplet.
其他題名:	blow-up, global existence and steady states /
作者:	Quittner, Pavol.
其他作者:	Souplet, Philippe.
出版者:	Cham :Springer International Publishing :2019.
面頁冊數:	xxii, 719 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Differential equations, Partial.
電子資源:	https://doi.org/10.1007/978-3-030-18222-9
ISBN:	9783030182229$q(electronic bk.)

Superlinear parabolic problemsblow-up, global existence and steady states /
Quittner, Pavol.

Superlinear parabolic problemsblow-up, global existence and steady states /[electronic resource] :by Prof. Dr. Pavol Quittner, Prof. Dr. Philippe Souplet. - 2nd ed. - Cham :Springer International Publishing :2019. - xxii, 719 p. :ill., digital ;24 cm. - Birkhauser advanced texts basler lehrbucher,1019-6242. - Birkhauser advanced texts basler lehrbucher..

Model Elliptic Problems -- Model Parabolic Problems -- Systems -- Equations with Gradient Terms -- Nonlocal Problems.

This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology. The first two chapters introduce to the field and enable the reader to get acquainted with the main ideas by studying simple model problems, respectively of elliptic and parabolic type. The subsequent three chapters are devoted to problems with more complex structure; namely, elliptic and parabolic systems, equations with gradient depending nonlinearities, and nonlocal equations. They include many developments which reflect several aspects of current research. Although the techniques introduced in the first two chapters provide efficient tools to attack some aspects of these problems, they often display new phenomena and specifically different behaviors, whose study requires new ideas. Many open problems are mentioned and commented. The book is self-contained and up-to-date, it has a high didactic quality. It is devoted to problems that are intensively studied but have not been treated so far in depth in the book literature. The intended audience includes graduate and postgraduate students and researchers working in the field of partial differential equations and applied mathematics. The first edition of this book has become one of the standard references in the field. This second edition provides a revised text and contains a number of updates reflecting significant recent advances that have appeared in this growing field since the first edition.

ISBN: 9783030182229$q(electronic bk.)

Standard No.: 10.1007/978-3-030-18222-9doiSubjects--Topical Terms:

189753
Differential equations, Partial.

LC Class. No.: QA377 / .Q58 2019

Dewey Class. No.: 515.353

Superlinear parabolic problemsblow-up, global existence and steady states /
LDR:02930nmm a2200349 a 4500 001 563030
003 DE-He213
005 20190613091631.0
006 m d
007 cr nn 008maaau
008 200227s2019 gw s 0 eng d
020 $a 9783030182229$q(electronic bk.)
020 $a 9783030182205$q(paper)
024 7 $a 10.1007/978-3-030-18222-9 $2 doi
035 $a 978-3-030-18222-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377 $b .Q58 2019
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.353 $2 23
090 $a QA377 $b .Q8 2019
100 1 $a Quittner, Pavol. $3 848387
245 1 0 $a Superlinear parabolic problems $h [electronic resource] : $b blow-up, global existence and steady states / $c by Prof. Dr. Pavol Quittner, Prof. Dr. Philippe Souplet.
250 $a 2nd ed.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2019.
300 $a xxii, 719 p. : $b ill., digital ; $c 24 cm.
490 1 $a Birkhauser advanced texts basler lehrbucher, $x 1019-6242
505 0 $a Model Elliptic Problems -- Model Parabolic Problems -- Systems -- Equations with Gradient Terms -- Nonlocal Problems.
520 $a This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology. The first two chapters introduce to the field and enable the reader to get acquainted with the main ideas by studying simple model problems, respectively of elliptic and parabolic type. The subsequent three chapters are devoted to problems with more complex structure; namely, elliptic and parabolic systems, equations with gradient depending nonlinearities, and nonlocal equations. They include many developments which reflect several aspects of current research. Although the techniques introduced in the first two chapters provide efficient tools to attack some aspects of these problems, they often display new phenomena and specifically different behaviors, whose study requires new ideas. Many open problems are mentioned and commented. The book is self-contained and up-to-date, it has a high didactic quality. It is devoted to problems that are intensively studied but have not been treated so far in depth in the book literature. The intended audience includes graduate and postgraduate students and researchers working in the field of partial differential equations and applied mathematics. The first edition of this book has become one of the standard references in the field. This second edition provides a revised text and contains a number of updates reflecting significant recent advances that have appeared in this growing field since the first edition.
650 0 $a Differential equations, Partial. $3 189753
650 0 $a Differential equations, Elliptic. $3 205654
650 0 $a Differential equations, Parabolic. $3 247280
650 1 4 $a Partial Differential Equations. $3 274075
650 2 4 $a Potential Theory. $3 274599
650 2 4 $a Functional Analysis. $3 274845
700 1 $a Souplet, Philippe. $3 848388
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Birkhauser advanced texts basler lehrbucher. $3 760267
856 4 0 $u https://doi.org/10.1007/978-3-030-18222-9
950 $a Mathematics and Statistics (Springer-11649)