On the Solvability of Degenerate Quasilinear Parabolic Equations of Second Order |
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Authors: | Zhenhai Liu |
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Affiliation: | (1) Department of Mathematics, Changsha University of Electic Power, Changsha 410077, P. R. China, E-mail: szsys@mail.csuep.edu.cn, CN |
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Abstract: | In this paper, we consider nonlinear degenerate quasilinear parabolic initial boundary value problems of second order. Using results from the theory of pseudomonotone operators, we show that there exists at least one weak solution in a suitable weighted Sobolev space. Received February 4, 1997, Revised October 20, 1997, Accepted March 17, 1998 |
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Keywords: | Quasilinear parabolic Degenerate equation Existence result |
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