Extinction for Non-Divergent Parabolic Equations with a Gradient Source
Received:May 24, 2017  Revised:July 20, 2017
Key Word: extinction   non-divergent parabolic equation   gradient source  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11701169) and the Scientific Research Fund of Hunan Provincial Education Department (Grant No.16A071).
Author NameAffiliation
Dengming LIU School of Mathematics and Computational Science, Hunan University of Science and Technology, Hunan 411201, P. R. China 
Chunlai MU College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China 
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      In this article, we study the extinction and non-extinction behaviors of the solutions for a class of non-divergent parabolic equation with a nonlinear gradient source. Moreover, we discuss the exponential decay estimates of the extinction solutions.
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