On Space-Time Quasiconcave Solutions of the Heat Equation 1

Vetenskap & teknik

On Space-Time Quasiconcave Solutions of the Heat Equation

Chuanqiang Chen • Xinan Ma • Paolo Salani

Pocket

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83 sidor
2019

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.

Författare: Chuanqiang Chen, Xinan Ma, Paolo Salani
Format: Pocket/Paperback
ISBN: 9781470435240
Språk: Engelska
Antal sidor: 83
Utgivningsdatum: 2019-07-30
Förlag: American Mathematical Society