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Non-Newton Filtration Equation with Nonconstant Medium Void and Critical Sobolev Exponent

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Abstract

In this paper we consider the existence and asymptotic estimates of global solutions and finite time blowup of local solutions of quasilinear parabolic equation with critical Sobolev exponent and with lower energy initial value; we also describe the asymptotic behavior of global solutions with high energy initial value.

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Authors and Affiliations

  1. Department of Mathematics, Xiamen University, Xiamen, 361005, P. R. China

    Zhong Tan

  2. Department of Mathematics, Fudan University, Shanghai, 200433, P. R. China

    Xian Gao Liu

Authors
  1. Zhong Tan
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  2. Xian Gao Liu
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Correspondence to Zhong Tan.

Additional information

Supported by NSF (No: 10171083 and 10371021) of China and Laboratory of Mathematics for Nonlinear Sciences of Fudan University

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Tan, Z., Liu, X.G. Non-Newton Filtration Equation with Nonconstant Medium Void and Critical Sobolev Exponent. Acta Math Sinica 20, 367–378 (2004). https://doi.org/10.1007/s10114-004-0361-z

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  • DOI: https://doi.org/10.1007/s10114-004-0361-z

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