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On space-time quasiconcave solutions of the heat equation [electronic resource] / Chuanqiang Chen, Xinan Ma, Paolo Salani

Author:
Chen, Chuanqiang (Mathematician)
Published:
Providence : American Mathematical Society, 2019.
Physical Description:
v, 81 pages : illustrations ; 26 cm.
Additional Creators:
Ma, Xinan and Salani, Paolo, 1968-
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Summary:
"In this Memoir 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 spacetime 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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ISBN:
9781470435240 (paperback)
9781470452438 (pdf)
Bibliography Note:
Includes bibliographical references.
View MARC record | catkey: 34815488