On Space-Time Quasiconcave Solutions of the Heat Equation

On Space-Time Quasiconcave Solutions of the Heat Equation
Author :
Publisher : American Mathematical Soc.
Total Pages : 94
Release :
ISBN-10 : 9781470435240
ISBN-13 : 1470435241
Rating : 4/5 (241 Downloads)

Book Synopsis On Space-Time Quasiconcave Solutions of the Heat Equation by : Chuanqiang Chen

Download or read book On Space-Time Quasiconcave Solutions of the Heat Equation written by Chuanqiang Chen and published by American Mathematical Soc.. This book was released on 2019-06-10 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper the authors 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, they 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 their ideas and for completeness, the authors 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.


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