國立高雄大學圖資館 |

登入

回首頁

Weak solutions of partial differential equations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Weak solutions of partial differential equationsby Thierry Gallouët, Raphaèle Herbin.
作者:	Gallouët, Thierry.
其他作者:	Herbin, Raphaèle.
出版者:	Cham :Springer Nature Switzerland :2025.
面頁冊數:	xi, 465 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Differential equations, PartialNumerical solutions.
電子資源:	https://doi.org/10.1007/978-3-031-98982-7
ISBN:	9783031989827$q(electronic bk.)

Weak solutions of partial differential equations
Gallouët, Thierry.

Weak solutions of partial differential equations[electronic resource] /by Thierry Gallouët, Raphaèle Herbin. - Cham :Springer Nature Switzerland :2025. - xi, 465 p. :ill., digital ;24 cm. - Mathématiques et applications,v. 902198-3275 ;. - Mathématiques et applications ;v. 90..

1 Sobolev Spaces -- 2 Linear Elliptic Problems -- 3 Quasi-Linear Elliptic Problems -- 4 Parabolic Problems -- 5 Hyperbolic Problems.

This book offers a comprehensive introduction to the study of solutions of linear and nonlinear partial differential equations, covering elliptic, parabolic and hyperbolic types. It places particular emphasis on the concept of weak solution, a fundamental framework for addressing well-posed problems in PDE theory. The book examines the existence and uniqueness of solutions for various types of PDEs, along with their key properties. Additionally, many of the methods introduced are also applicable for analyzing the convergence of numerical schemes used to approximate these equations. Based on courses taught by the authors, this book is primarily aimed at graduate students and contains numerous exercises and problems with detailed solutions.

ISBN: 9783031989827$q(electronic bk.)

Standard No.: 10.1007/978-3-031-98982-7doiSubjects--Topical Terms:

185034
Differential equations, Partial
--Numerical solutions.

LC Class. No.: QA377

Dewey Class. No.: 515.353

Weak solutions of partial differential equations
LDR:01937nmm a2200337 a 4500 001 686048
003 DE-He213
005 20250828130203.0
006 m d
007 cr nn 008maaau
008 260209s2025 sz s 0 eng d
020 $a 9783031989827$q(electronic bk.)
020 $a 9783031989810$q(paper)
024 7 $a 10.1007/978-3-031-98982-7 $2 doi
035 $a 978-3-031-98982-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377
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 .G173 2025
100 1 $a Gallouët, Thierry. $3 1000163
245 1 0 $a Weak solutions of partial differential equations $h [electronic resource] / $c by Thierry Gallouët, Raphaèle Herbin.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
300 $a xi, 465 p. : $b ill., digital ; $c 24 cm.
490 1 $a Mathématiques et applications, $x 2198-3275 ; $v v. 90
505 0 $a 1 Sobolev Spaces -- 2 Linear Elliptic Problems -- 3 Quasi-Linear Elliptic Problems -- 4 Parabolic Problems -- 5 Hyperbolic Problems.
520 $a This book offers a comprehensive introduction to the study of solutions of linear and nonlinear partial differential equations, covering elliptic, parabolic and hyperbolic types. It places particular emphasis on the concept of weak solution, a fundamental framework for addressing well-posed problems in PDE theory. The book examines the existence and uniqueness of solutions for various types of PDEs, along with their key properties. Additionally, many of the methods introduced are also applicable for analyzing the convergence of numerical schemes used to approximate these equations. Based on courses taught by the authors, this book is primarily aimed at graduate students and contains numerous exercises and problems with detailed solutions.
650 0 $a Differential equations, Partial $x Numerical solutions. $3 185034
650 1 4 $a Differential Equations. $3 285983
650 2 4 $a Functional Analysis. $3 274845
700 1 $a Herbin, Raphaèle. $3 1000164
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Mathématiques et applications ; $v v. 90. $3 1000165
856 4 0 $u https://doi.org/10.1007/978-3-031-98982-7
950 $a Mathematics and Statistics (SpringerNature-11649)