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Nonlinear Degenerate Parabolic Equation with Nonlinear Boundary Condition

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Abstract

In this paper, we obtain the necessary and sufficient conditions on the global existence of all positive (weak) solutions to a nonlinear degenerate parabolic equation with nonlinear boundary condition.

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Authors and Affiliations

  1. LCP, Institute of Applied Physics and Computational Mathematics, 8009, Beijing 100088, P. R. China

    Wen Jun Sun

  2. College of Science, Beijing University of Technology, Ping Le Yuan, Chao Yang District, Beijing 100022, P. R. China

    Shu Wang

Authors
  1. Wen Jun Sun
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  2. Shu Wang
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Correspondence to Wen Jun Sun.

Additional information

Supported by National Youth Natural Science Foundation of China (Grant No. 10001034) and the Austrian–Chinese Scientific–Technical Cooperation Agreement

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Sun, W.J., Wang, S. Nonlinear Degenerate Parabolic Equation with Nonlinear Boundary Condition. Acta Math Sinica 21, 847–854 (2005). https://doi.org/10.1007/s10114-004-0512-2

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  • DOI: https://doi.org/10.1007/s10114-004-0512-2

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