Relative Rearrangement
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 pro...
-д хадгалсан:
| Үндсэн зохиолч: | |
|---|---|
| Байгууллагын зохиогч: | |
| Формат: | Цахим Цахим ном |
| Хэл сонгох: | англи |
| Хэвлэсэн: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
|
| Хэвлэл: | 1st ed. 2025. |
| Цуврал: | Lecture Notes in Mathematics,
2376 |
| Нөхцлүүд: | |
| Онлайн хандалт: | https://doi.org/10.1007/978-3-032-02228-8 |
| Шошгууд: |
Шошго нэмэх
Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!
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MARC
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| 100 | 1 | |a Rakotoson, Jean Michel. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Relative Rearrangement |h [electronic resource] / |c by Jean Michel Rakotoson. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (XVI, 414 p. 12 illus.). | ||
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| 490 | 1 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2376 | |
| 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. . | ||
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| 588 | |a Print version record. | ||
| 650 | 0 | |a Functional analysis. | |
| 650 | 0 | |a Fourier analysis. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a System theory. | |
| 650 | 0 | |a Physics. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 1 | 4 | |a Functional Analysis. |
| 650 | 2 | 4 | |a Fourier Analysis. |
| 650 | 2 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Complex Systems. |
| 650 | 2 | 4 | |a Classical and Continuum Physics. |
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