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On Space-Time Quasiconcave Solutions of the Heat Equation (Memoirs of the American Mathematical Society)

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About the Author Chuanqiang Chen, Zhejiang University of Technology, Hangzhou, China.Xinan Ma, University of Science and Technology of China, Hefei, China.Paolo Salani, Universita di Firenze, Italy. Product Description 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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Format
paperback
Domain
Amazon UK
Release Date
30 June 2019
Listed Since
23 March 2019

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