On space-time quasiconcave solutions of the heat equation
Chuanqiang Chen
Bok · Engelsk · 2019
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| Omfang | v, 81 sider
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| Opplysninger | "May 2019, volume 259, number 1244 (first of 8 numbers)" - Tittelbladet. - På omslaget: MEMO/259/1244. - "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 quasiconceave 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" - Abstract, side v
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| ISBN | 978-1-4704-3524-0
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