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Bellman Function for Extremal Problems in BMO II.
In a previous study, the authors built the Bellman function for integral functionals on the \mathrm{BMO} space. The present paper provides a development of the subject. They abandon the majority of unwanted restrictions on the function that generates the functional. It is the new evolutional approac...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2018.
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| Colección: | Memoirs of the American Mathematical Society Ser.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title page; Chapter 1. Introduction; 1.1. Historical remarks; 1.2. Structure of the paper; Chapter 2. Setting and sketch of proof; 2.1. Setting; 2.2. On concavity of surfaces and functions; Chapter 3. Patterns for Bellman candidates; 3.1. Preliminaries; 3.2. Tangent domains; 3.3. Around the cup; 3.4. Linearity domains; 3.5. Combinatorial properties of foliations; Chapter 4. Evolution of Bellman candidates; 4.1. Simple picture; 4.2. Preparation to evolution; 4.3. Local evolutional theorems; 4.4. Global evolution; 4.5. Examples; Chapter 5. Optimizers; 5.1. Abstract theory.
- 5.2. Local behavior of optimizers5.3. Global optimizers; 5.4. Examples; Chapter 6. Related questions and further development; 6.1. Related questions; 6.2. Further development; Bibliography; Index; Back Cover.