On quasilinear parabolic equations which admit global solutions for initial data with unrestricted growth |
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| Authors: | Kai-Seng Chou Ying-Chuen Kwong |
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| Affiliation: | (1) Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong , HK;(2) Department of Mathematics, Northern Illinois University, DeKalb, IL60115, USA , US |
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| Abstract: | Three classes of quasilinear parabolic equations which have the common feature that their principal coefficients decay as the solution or its gradient blows up are studied. Long time existence of solutions for their Cauchy problems for initial data with arbitrary growth is established. Received September 9, 1999 / Accepted May 9, 2000 / Published online September 14, 2000 |
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| Keywords: | Mathematics Subject Classification (1991): 35K55 35B40 35B25 |
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