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Weak solutions of partial differential equations

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Weak solutions of partial differential equations/ by 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, Partial - Numerical solutions. -
電子資源:	https://doi.org/10.1007/978-3-031-98982-7
ISBN:	9783031989827

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

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

527938
Differential equations, Partial
--Numerical solutions.

LC Class. No.: QA377

Dewey Class. No.: 515.353

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