東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Partial differential equations in an...

Chlebicka, Iwona.

Linked to FindBook

Google Book

Amazon

博客來

Partial differential equations in anisotropic musielak-orlicz spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Partial differential equations in anisotropic musielak-orlicz spaces/ by Iwona Chlebicka ... [et al.].
other author:	Chlebicka, Iwona.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xiii, 389 p. :ill., digital ;24 cm.
[NT 15003449]:	Part I Overture: 1. Introduction -- 2. N-Functions -- 3. Musielak-Orlicz Spaces -- Part II PDEs: 4. Weak Solutions -- 5. Renormalized Solutions -- 6. Homogenization of Elliptic Boundary Value Problems -- 7. Non-Newtonian Fluids -- Part III Auxiliaries: 8. Basics -- 9. Functional Inequalities -- References -- List of Symbols -- Index.
Contained By:	Springer Nature eBook
Subject:	Differential equations, Partial. -
Online resource:	https://doi.org/10.1007/978-3-030-88856-5
ISBN:	9783030888565

Partial differential equations in anisotropic musielak-orlicz spaces
Partial differential equations in anisotropic musielak-orlicz spaces[electronic resource] /by Iwona Chlebicka ... [et al.]. - Cham :Springer International Publishing :2021. - xiii, 389 p. :ill., digital ;24 cm. - Springer monographs in mathematics,2196-9922. - Springer monographs in mathematics..

Part I Overture: 1. Introduction -- 2. N-Functions -- 3. Musielak-Orlicz Spaces -- Part II PDEs: 4. Weak Solutions -- 5. Renormalized Solutions -- 6. Homogenization of Elliptic Boundary Value Problems -- 7. Non-Newtonian Fluids -- Part III Auxiliaries: 8. Basics -- 9. Functional Inequalities -- References -- List of Symbols -- Index.

This book provides a detailed study of nonlinear partial differential equations satisfying certain nonstandard growth conditions which simultaneously extend polynomial, inhomogeneous and fully anisotropic growth. The common property of the many different kinds of equations considered is that the growth conditions of the highest order operators lead to a formulation of the equations in Musielak-Orlicz spaces. This high level of generality, understood as full anisotropy and inhomogeneity, requires new proof concepts and a generalization of the formalism, calling for an extended functional analytic framework. This theory is established in the first part of the book, which serves as an introduction to the subject, but is also an important ingredient of the whole story. The second part uses these theoretical tools for various types of PDEs, including abstract and parabolic equations but also PDEs arising from fluid and solid mechanics. For connoisseurs, there is a short chapter on homogenization of elliptic PDEs. The book will be of interest to researchers working in PDEs and in functional analysis.

ISBN: 9783030888565

Standard No.: 10.1007/978-3-030-88856-5doiSubjects--Topical Terms:

518115
Differential equations, Partial.

LC Class. No.: QA377

Dewey Class. No.: 515.353

Partial differential equations in anisotropic musielak-orlicz spaces
LDR:02505nmm a2200337 a 4500 001 2253794
003 DE-He213
005 20211101082315.0
006 m d
007 cr nn 008maaau
008 220327s2021 sz s 0 eng d
020 $a 9783030888565 $q (electronic bk.)
020 $a 9783030888558 $q (paper)
024 7 $a 10.1007/978-3-030-88856-5 $2 doi
035 $a 978-3-030-88856-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377
072 7 $a PB $2 bicssc
072 7 $a MAT000000 $2 bisacsh
072 7 $a PB $2 thema
082 0 4 $a 515.353 $2 23
090 $a QA377 $b .P273 2021
245 0 0 $a Partial differential equations in anisotropic musielak-orlicz spaces $h [electronic resource] / $c by Iwona Chlebicka ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xiii, 389 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer monographs in mathematics, $x 2196-9922
505 0 $a Part I Overture: 1. Introduction -- 2. N-Functions -- 3. Musielak-Orlicz Spaces -- Part II PDEs: 4. Weak Solutions -- 5. Renormalized Solutions -- 6. Homogenization of Elliptic Boundary Value Problems -- 7. Non-Newtonian Fluids -- Part III Auxiliaries: 8. Basics -- 9. Functional Inequalities -- References -- List of Symbols -- Index.
520 $a This book provides a detailed study of nonlinear partial differential equations satisfying certain nonstandard growth conditions which simultaneously extend polynomial, inhomogeneous and fully anisotropic growth. The common property of the many different kinds of equations considered is that the growth conditions of the highest order operators lead to a formulation of the equations in Musielak-Orlicz spaces. This high level of generality, understood as full anisotropy and inhomogeneity, requires new proof concepts and a generalization of the formalism, calling for an extended functional analytic framework. This theory is established in the first part of the book, which serves as an introduction to the subject, but is also an important ingredient of the whole story. The second part uses these theoretical tools for various types of PDEs, including abstract and parabolic equations but also PDEs arising from fluid and solid mechanics. For connoisseurs, there is a short chapter on homogenization of elliptic PDEs. The book will be of interest to researchers working in PDEs and in functional analysis.
650 0 $a Differential equations, Partial. $3 518115
650 1 4 $a Mathematics, general. $3 895821
650 2 4 $a Analysis. $3 891106
650 2 4 $a Functional Analysis. $3 893943
650 2 4 $a Applications of Mathematics. $3 890893
700 1 $a Chlebicka, Iwona. $3 3522341
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Springer monographs in mathematics. $3 1535313
856 4 0 $u https://doi.org/10.1007/978-3-030-88856-5
950 $a Mathematics and Statistics (SpringerNature-11649)