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Non-Newton Filtration Equation with Nonconstant Medium Void and Critical Sobolev Exponent 被引量：2

Non-Newton Filtration Equation with Nonconstant Medium Void and Critical Sobolev Exponent
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摘要 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. 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.
作者 ZhongTAN XianGaoLIU
机构地区 DepartmentofMathematics DepartmentofMathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2004年第2期367-378,共12页 数学学报（英文版）
基金 Supported by NSF(No:10171083 and 10371021)of China Laboratory of Mathematics for Nonlinear Sciences of Fudan University
关键词 Quasilinear parabolic equation Critical Sobolev exponent EXISTENCE Asymptotic estimates Finite time blowup Quasilinear parabolic equation Critical Sobolev exponent Existence Asymptotic estimates Finite time blowup
分类号 O175.2 [理学—基础数学]
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  • 1Wu, Z. Q., Zhao, J. N.. Yin, J. X., Li, H. L.: Nonlinear Diffusion Equations, Press 1996.
  • 2Kalashnikov, A. S.: Some problems of the qualtative theory of nonlinear degenerate second-order parabolic equation. Uspekhi Mat. Nank, 42(2), 135-176 (1987), Russian Math. Surveys. 42(2). 169-222 (1987).
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Acta Mathematica Sinica,English Series
2004年 第2期

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