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On the Solvability of Degenerate Quasilinear Parabolic Equations of Second Order

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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.

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Authors and Affiliations

  1. Department of Mathematics, Changsha University of Electic Power, Changsha 410077, P. R. China

    Zhenhai Liu

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  1. Zhenhai Liu
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Correspondence to Zhenhai Liu.

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This research is supported by the Natural science Foundation of Hunan province

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Liu, Z. On the Solvability of Degenerate Quasilinear Parabolic Equations of Second Order. Acta Math Sinica 16, 313–324 (2000). https://doi.org/10.1007/s101140000052

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  • DOI: https://doi.org/10.1007/s101140000052

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