Holder Continuity of the Gradient of the Solutions of Certain Degenerate Parabolic Equations
Citation:
Chen Yazhe.Holder Continuity of the Gradient of the Solutions of Certain Degenerate Parabolic Equations[J].Chinese Annals of Mathematics B,1987,8(3):343~356
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Authors:
Chen Yazhe;
Abstract:
This paper is concerned with the parabolic equation
$\frac{\partial u}{\partial t}-div(|\bigtriangledown u|^{p-2}\bigtriangledown u)=0,x\in \Omega \subseteqq R^n,t>0$
with $p>max{3/2,2N/(N+2)}$ which is degenerate if p<2 er singular if 3/2