On Space-Time Quasiconcave Solutions of the Heat Equation

Released on by Chuanqiang Chen
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  • On Space-Time Quasiconcave Solutions of the Heat Equation Book Detail

  • Author : Chuanqiang Chen
  • Release Date : 2019-06-10
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 94
  • ISBN 13 : 1470435241
  • File Size : 27,27 MB
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On Space-Time Quasiconcave Solutions of the Heat Equation by Chuanqiang Chen PDF Summary

Book 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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Time-Like Graphical Models

Time-Like Graphical Models

File Size : 85,85 MB
Total View : 5349 Views
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The author studies continuous processes indexed by a special family of graphs. Processes indexed by vertices of graphs are known as probabilistic graphical mode