Type II Gradient Blow up on heat equations

碩士 === 國立中興大學 === 應用數學系所 === 100 === We study the heat equation with a gradient nonlinear term. We survey some results shown in the papers by Guo & Hu [3] and Souplet & Zhang [15]. Moreover, we give some estimations of the lower and upper bounds of the gradient for the radial solution....

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Bibliographic Details
Main Authors: Yan-Hau Chiou, 邱彥豪
Other Authors: 吳菁菁
Format: Others
Language:en_US
Published: 2012
Online Access:http://ndltd.ncl.edu.tw/handle/93497139019523757134
Description
Summary:碩士 === 國立中興大學 === 應用數學系所 === 100 === We study the heat equation with a gradient nonlinear term. We survey some results shown in the papers by Guo & Hu [3] and Souplet & Zhang [15]. Moreover, we give some estimations of the lower and upper bounds of the gradient for the radial solution.