東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Partial differential inequalities wi...

Ghergu, Marius.

FindBook

Google Book

Amazon

博客來

Partial differential inequalities with nonlinear convolution terms

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Partial differential inequalities with nonlinear convolution terms/ by Marius Ghergu.
作者:	Ghergu, Marius.
出版者:	Cham :Springer International Publishing : : 2022.,
面頁冊數:	viii, 136 p. :ill., digital ;24 cm.
內容註:	Chapter 1. Preliminary Facts -- Chapter 2. Quasilinear Elliptic Inequalities with Convolution Terms -- Chapter 3. Singular and Bounded Solutions for Quasilinear Inequalities -- Chapter 4. Polyharmonic Inequalities with Convolution Terms -- Chapter 5. Quasilinear Parabolic Inequalities with Convolution Terms -- Chapter 6. Higher Order Evolution Inequalities with Convolution Terms -- Appendix A. Some Properties of Superharmonic Functions -- Appendix B. Harnack Inequalities for Quasilinear Elliptic Operators -- Bibliography -- Index.
Contained By:	Springer Nature eBook
標題:	Differential inequalities. -
電子資源:	https://doi.org/10.1007/978-3-031-21856-9
ISBN:	9783031218569

Partial differential inequalities with nonlinear convolution terms
Ghergu, Marius.

Partial differential inequalities with nonlinear convolution terms[electronic resource] /by Marius Ghergu. - Cham :Springer International Publishing :2022. - viii, 136 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8201. - SpringerBriefs in mathematics..

Chapter 1. Preliminary Facts -- Chapter 2. Quasilinear Elliptic Inequalities with Convolution Terms -- Chapter 3. Singular and Bounded Solutions for Quasilinear Inequalities -- Chapter 4. Polyharmonic Inequalities with Convolution Terms -- Chapter 5. Quasilinear Parabolic Inequalities with Convolution Terms -- Chapter 6. Higher Order Evolution Inequalities with Convolution Terms -- Appendix A. Some Properties of Superharmonic Functions -- Appendix B. Harnack Inequalities for Quasilinear Elliptic Operators -- Bibliography -- Index.

This brief research monograph uses modern mathematical methods to investigate partial differential equations with nonlinear convolution terms, enabling readers to understand the concept of a solution and its asymptotic behavior. In their full generality, these inequalities display a non-local structure. Classical methods, such as maximum principle or sub- and super-solution methods, do not apply to this context. This work discusses partial differential inequalities (instead of differential equations) for which there is no variational setting. This current work brings forward other methods that prove to be useful in understanding the concept of a solution and its asymptotic behavior related to partial differential inequalities with nonlinear convolution terms. It promotes and illustrates the use of a priori estimates, Harnack inequalities, and integral representation of solutions. One of the first monographs on this rapidly expanding field, the present work appeals to graduate and postgraduate students as well as to researchers in the field of partial differential equations and nonlinear analysis.

ISBN: 9783031218569

Standard No.: 10.1007/978-3-031-21856-9doiSubjects--Topical Terms:

1006425
Differential inequalities.

LC Class. No.: QA374

Dewey Class. No.: 515.36

Partial differential inequalities with nonlinear convolution terms
LDR:02689nmm a2200337 a 4500 001 2307013
003 DE-He213
005 20221223084803.0
006 m d
007 cr nn 008maaau
008 230421s2022 sz s 0 eng d
020 $a 9783031218569 $q (electronic bk.)
020 $a 9783031218552 $q (paper)
024 7 $a 10.1007/978-3-031-21856-9 $2 doi
035 $a 978-3-031-21856-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA374
072 7 $a PBKJ $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.36 $2 23
090 $a QA374 $b .G416 2022
100 1 $a Ghergu, Marius. $3 935023
245 1 0 $a Partial differential inequalities with nonlinear convolution terms $h [electronic resource] / $c by Marius Ghergu.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a viii, 136 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8201
505 0 $a Chapter 1. Preliminary Facts -- Chapter 2. Quasilinear Elliptic Inequalities with Convolution Terms -- Chapter 3. Singular and Bounded Solutions for Quasilinear Inequalities -- Chapter 4. Polyharmonic Inequalities with Convolution Terms -- Chapter 5. Quasilinear Parabolic Inequalities with Convolution Terms -- Chapter 6. Higher Order Evolution Inequalities with Convolution Terms -- Appendix A. Some Properties of Superharmonic Functions -- Appendix B. Harnack Inequalities for Quasilinear Elliptic Operators -- Bibliography -- Index.
520 $a This brief research monograph uses modern mathematical methods to investigate partial differential equations with nonlinear convolution terms, enabling readers to understand the concept of a solution and its asymptotic behavior. In their full generality, these inequalities display a non-local structure. Classical methods, such as maximum principle or sub- and super-solution methods, do not apply to this context. This work discusses partial differential inequalities (instead of differential equations) for which there is no variational setting. This current work brings forward other methods that prove to be useful in understanding the concept of a solution and its asymptotic behavior related to partial differential inequalities with nonlinear convolution terms. It promotes and illustrates the use of a priori estimates, Harnack inequalities, and integral representation of solutions. One of the first monographs on this rapidly expanding field, the present work appeals to graduate and postgraduate students as well as to researchers in the field of partial differential equations and nonlinear analysis.
650 0 $a Differential inequalities. $3 1006425
650 0 $a Differential equations, Partial. $3 518115
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a SpringerBriefs in mathematics. $3 1566700
856 4 0 $u https://doi.org/10.1007/978-3-031-21856-9
950 $a Mathematics and Statistics (SpringerNature-11649)