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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 |
|---|---|
| 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 |
MARC
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| 084 | |a 35K20 |a 35B30 |2 msc | ||
| 049 | |a UAMI | ||
| 100 | 1 | |a Chen, Chuanqiang, |e author. | |
| 245 | 1 | 0 | |a On space-time quasiconcave solutions of the heat equation / |c Chuanqiang Chen, Xinan Ma, Paolo Salani. |
| 264 | 1 | |a Providence, RI : |b American Mathematical Society, |c [2019] | |
| 264 | 4 | |c ©2019 | |
| 300 | |a 1 online resource (v, 81 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v number 1244 | |
| 500 | |a "May 2019 - Volume 259 - Number 1244 (first of 8 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 79-81). | ||
| 520 | 3 | |a "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 | |
| 588 | 0 | |a Online version (viewed 7 June 2019) | |
| 505 | 0 | |a Cover; Title page; Chapter 1. \040Introduction; Chapter 2. Basic definitions and the Constant Rank Theorem technique; 2.1. Preliminaries; 2.2. A constant rank theorem for the space-time convex solution of the heat equation; 2.3. The strict convexity of the level sets of harmonic functions in convex rings; Chapter 3. A microscopic space-time Convexity Principle for space-time level sets; 3.1. A constant rank theorem for the spatial second fundamental form; 3.2. A constant rank theorem for the space-time second fundamental form: CASE 1 | |
| 505 | 8 | |a 3.3. A constant rank theorem for the space-time second fundamental form: CASE 2Chapter 4. The Strict Convexity of Space-time Level Sets; 4.1. The strict convexity of space-time level sets of Borell's solution; 4.2. Proof of Theorem 1.0.3; Chapter 5. Appendix: the proof in dimension =2; 5.1. minimal rank =0; 5.2. minimal rank =1; Bibliography; Back Cover | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Heat equation. | |
| 650 | 0 | |a Convex domains. | |
| 650 | 0 | |a Space and time. | |
| 650 | 6 | |a Équation de la chaleur. | |
| 650 | 6 | |a Algèbres convexes. | |
| 650 | 7 | |a Funciones convexas |2 embne | |
| 650 | 7 | |a Espacio y tiempo |2 embne | |
| 650 | 7 | |a Convex domains |2 fast | |
| 650 | 7 | |a Heat equation |2 fast | |
| 650 | 7 | |a Space and time |2 fast | |
| 700 | 1 | |a Ma, Xinan, |e author | |
| 700 | 1 | |a Salani, Paolo, |e author | |
| 758 | |i has work: |a On space-time quasiconcave solutions of the heat equation (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFRQ9VWPXkTg8FRGt7CTQC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Chen, Chuanqiang. |t On space-time quasiconcave solutions of the heat equation. |d Providence, RI : American Mathematical Society, [2019] |w (DLC) 2019023424 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1244. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5788263 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37445264 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5788263 | ||
| 938 | |a EBSCOhost |b EBSC |n 2158034 | ||
| 994 | |a 92 |b IZTAP | ||