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On space-time quasiconcave solutions of the heat equation /
"In this paper we first obtain a constant rank theorem for the second fundamental form of the space-time level sets of a space-time quasiconcave solution of the heat equation. Utilizing this constant rank theorem, we can obtain some strictly convexity results of the spatial and space-time level...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, RI :
American Mathematical Society,
[2019]
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1244. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | "In this paper we first obtain a constant rank theorem for the second fundamental form of the space-time level sets of a space-time quasiconcave solution of the heat equation. Utilizing this constant rank theorem, we can obtain some strictly convexity results of the spatial and space-time level sets of the space-time quasiconcave solution of the heat equation in a convex ring. To explain our ideas and for completeness, we also review the constant rank theorem technique for the space-time Hessian of space-time convex solution of heat equation and for the second fundamental form of the convex level sets for harmonic function."--Page v |
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| Notas: | "May 2019 - Volume 259 - Number 1244 (first of 8 numbers)." |
| Descripción Física: | 1 online resource (v, 81 pages) |
| Bibliografía: | Includes bibliographical references (pages 79-81). |
| ISBN: | 147045243X 9781470452438 9781470435240 1470435241 |
| ISSN: | 1947-6221 ; |