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...
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| Format: | Elektroniczne E-book |
| Język: | angielski |
| Wydane: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Wydanie: | 1st ed. 2025. |
| Seria: | Lecture Notes in Mathematics,
2376 |
| Hasła przedmiotowe: | |
| Dostęp online: | https://doi.org/10.1007/978-3-032-02228-8 |
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Spis treści:
- 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.