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

Linked to FindBook

Google Book

Amazon

博客來

Relative rearrangement

Record Type:	Electronic resources : Monograph/item
Title/Author:	Relative rearrangement/ by Jean Michel Rakotoson.
Author:	Rakotoson, Jean-Michel.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xvi, 414 p. :ill., digital ;24 cm.
[NT 15003449]:	Chapter 1. Monotone Rearrangement -- Chapter 2. Relative Rearrangement -- Chapter 3. Polya-Szego inequalities and regularity of monotone rearrangement -- Chapter 4. Pointwise inequalities and Sobolev inclusions -- Chapter 5. Formalism of estimates for boundary value problems -- Chapter 6. Continuity of the derivative map of the monotone rearrangement -- Chapter 7. Strong continuity of the relative rearrangement map u ! b*u and consequences -- Chapter 8. Some problems related to relative rearrangement -- Chapter 9. Time-dependent functions and evolution equations -- Chapter 10. Relative rearrangement and Lebesgue spaces with variable exponents -- Chapter 11. Exercises and Problems.
Contained By:	Springer Nature eBook
Subject:	Complex Systems. -
Online resource:	https://doi.org/10.1007/978-3-032-02228-8
ISBN:	9783032022288

Relative rearrangement
Rakotoson, Jean-Michel.

Relative rearrangement[electronic resource] /by Jean Michel Rakotoson. - Cham :Springer Nature Switzerland :2025. - xvi, 414 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v. 223761617-9692 ;. - Lecture notes in mathematics ;v. 22376..

Chapter 1. Monotone Rearrangement -- Chapter 2. Relative Rearrangement -- Chapter 3. Polya-Szego inequalities and regularity of monotone rearrangement -- Chapter 4. Pointwise inequalities and Sobolev inclusions -- Chapter 5. Formalism of estimates for boundary value problems -- Chapter 6. Continuity of the derivative map of the monotone rearrangement -- Chapter 7. Strong continuity of the relative rearrangement map u ! b*u and consequences -- Chapter 8. Some problems related to relative rearrangement -- Chapter 9. Time-dependent functions and evolution equations -- Chapter 10. Relative rearrangement and Lebesgue spaces with variable exponents -- Chapter 11. Exercises and Problems.

This book develops the properties of monotone rearrangement and relative rearrangement (sometimes called pseudo-rearrangement). It introduces applications to variational problems involving monotone rearrangements, a priori estimates for partial differential equations, and stationary or evolution problems associated with variable exponents. The properties of Sobolev embeddings for non-standard spaces such as BMO, VMO, Zygmung spaces and more general spaces invariant under rearrangement are also reviewed. The book is relatively self-contained - elementary details for non-specialists are covered in the first chapter, including, among other things, some punctual inequalities for the Sobolev embeddings and Pólya-Szegő type inequalities, which lead, for instance, to explicit and even precise estimates. The final chapter includes numerous exercises, with solutions. Based on the author's Réarrangement relatif: un instrument d'estimations dans les problèmes aux limites (Springer, 2008), this edition contains additional recent results and new exercises concerning interpolation theory.

ISBN: 9783032022288

Standard No.: 10.1007/978-3-032-02228-8doiSubjects--Topical Terms:

1566441
Complex Systems.

LC Class. No.: QA379

Dewey Class. No.: 515.35

Relative rearrangement
LDR:02802nmm a2200337 a 4500 001 2421800
003 DE-He213
005 20251028120416.0
006 m d
007 cr nn 008maaau
008 260505s2025 sz s 0 eng d
020 $a 9783032022288 $q (electronic bk.)
020 $a 9783032022271 $q (paper)
024 7 $a 10.1007/978-3-032-02228-8 $2 doi
035 $a 978-3-032-02228-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA379
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 515.35 $2 23
090 $a QA379 $b .R162 2025
100 1 $a Rakotoson, Jean-Michel. $3 907895
245 1 0 $a Relative rearrangement $h [electronic resource] / $c by Jean Michel Rakotoson.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
300 $a xvi, 414 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 1617-9692 ; $v v. 22376
505 0 $a Chapter 1. Monotone Rearrangement -- Chapter 2. Relative Rearrangement -- Chapter 3. Polya-Szego inequalities and regularity of monotone rearrangement -- Chapter 4. Pointwise inequalities and Sobolev inclusions -- Chapter 5. Formalism of estimates for boundary value problems -- Chapter 6. Continuity of the derivative map of the monotone rearrangement -- Chapter 7. Strong continuity of the relative rearrangement map u ! b*u and consequences -- Chapter 8. Some problems related to relative rearrangement -- Chapter 9. Time-dependent functions and evolution equations -- Chapter 10. Relative rearrangement and Lebesgue spaces with variable exponents -- Chapter 11. Exercises and Problems.
520 $a This book develops the properties of monotone rearrangement and relative rearrangement (sometimes called pseudo-rearrangement). It introduces applications to variational problems involving monotone rearrangements, a priori estimates for partial differential equations, and stationary or evolution problems associated with variable exponents. The properties of Sobolev embeddings for non-standard spaces such as BMO, VMO, Zygmung spaces and more general spaces invariant under rearrangement are also reviewed. The book is relatively self-contained - elementary details for non-specialists are covered in the first chapter, including, among other things, some punctual inequalities for the Sobolev embeddings and Pólya-Szegő type inequalities, which lead, for instance, to explicit and even precise estimates. The final chapter includes numerous exercises, with solutions. Based on the author's Réarrangement relatif: un instrument d'estimations dans les problèmes aux limites (Springer, 2008), this edition contains additional recent results and new exercises concerning interpolation theory.
650 2 4 $a Complex Systems. $3 1566441
650 2 4 $a Classical and Continuum Physics. $3 3218450
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 1066859
650 0 $a Differential equations. $3 517952
650 0 $a Boundary value problems. $3 527599
650 1 4 $a Functional Analysis. $3 893943
650 2 4 $a Fourier Analysis. $3 891095
650 2 4 $a Differential Equations. $3 907890
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Lecture notes in mathematics ; $v v. 22376. $3 3803147
856 4 0 $u https://doi.org/10.1007/978-3-032-02228-8
950 $a Mathematics and Statistics (SpringerNature-11649)