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On the Solvability of Degenerate Quasilinear Parabolic Equations of Second Order 被引量:5

On the Solvability of Degenerate Quasilinear Parabolic Equations of Second Order
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摘要 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. 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.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2000年第2期313-324,共12页 数学学报(英文版)
基金 This research is supported by the Natural science Foundation of Hunan province
关键词 Quasilinear parabolic Degenerate equation Existence result Quasilinear parabolic Degenerate equation Existence result
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