The hölder continuity of generalized solutions of a class quasilinear parabolic equations |
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| Authors: | Wang Xiangdong Liang Xiting |
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| Affiliation: | (1) Department of Basic Courses, Zenghzhou Institute of Light Industry, 450002 Zhengzhou, PR China;(2) Department of Mathematics, Zhongshan University, 510275 Zhongshan, PR China |
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| Abstract: | ![]()
Let A cud B satisfy the Structural conditions (2), the local Hölder continuityinterior to Q=G×(0, T) is proved for the generalized solutions of quasilinearparabolic equations as follows: u2 - divA(x, t,u,∇u) + B(x, t, u, ∇u)=0 |
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| Keywords: | parabolic equation natural growth condition generalizedsolution local Hölder continuity |
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