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NON-NEWTON FILTRATION EQUATION WITH SPECIAL MEDIUM VOID 被引量：7

NON-NEWTON FILTRATION EQUATION WITH SPECIAL MEDIUM VOID
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摘要 This paper considers the existence and asymptotic estimates of global solutions and finite time blowup of local solution of non-Newton filtration equation with special medium void of the following form:where , ft is a smooth bounded domain in RN(N≥3), 0∈Ω, The result of asymptotic estimate of global solution depends on the best constant in Hardy inequality. This paper considers the existence and asymptotic estimates of global solutions and finite time blowup of local solution of non-Newton filtration equation with special medium void of the following form:where , ft is a smooth bounded domain in RN(N≥3), 0∈Ω, The result of asymptotic estimate of global solution depends on the best constant in Hardy inequality.
作者 谭忠
机构地区 Department of Mathematics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2004年第1期118-128,共11页 数学物理学报（B辑英文版）
基金 Supported by NSF of China(10171083),NSF of Fujian
关键词 Non-Newton filtration equation asymptotic estimate blow up Hardy inequality Non-Newton filtration equation, asymptotic estimate, blow up, Hardy inequality
分类号 O211.67 [理学—概率论与数理统计]
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参考文献12

  • 1Wu Zhuoqun, Zhao Junning, Yin Jinxue, Li Huilai. Nonlinear diffusion equations. Press(in Chinese), 1996.
  • 2Sattinger D H. On global solution of nonlinear hyperbolic equations. Arch Rat Mech Anal, 1968, 30:148-172.
  • 3Ishii H. Asymptotic stability and blowing up of solutions of some nonlinear equations. J Differential Equations, 1977, 26:291-319.
  • 4Tan Zhong, Yao Zhengan. Global and blowup solutions of quasilinear parabolic equation with critical Sobolev exponent and lower energy initial value. J of Inequal Appl, 2000, 6(1): 57-75.
  • 5Tsutsumi M. Existence and nonexistence of global solutions for nonlinear parabolic equations. Publ Res Inst Math Sci, 1972,8:211-229.
  • 6Payne L E, Sattinger D H. Saddle points and instability of non-linear hyperbolic equations. Israel J of Math, 1975, 22(3/4): 273-303.
  • 7Ding Xiaqi, Zhao H J. Global solution of a semilinear parabolic equation. Acta Mathematica Scientia,1991, 11(3): 254-266.
  • 8Wang M X. Nonlinear parabolic-type equations (in Chinese). Beijing: Science Press, 1993.
  • 9Gaxcia Azorero J P, Peral Alonso I. Hardy inequalities and some critical elliptic and parabolic problems.J of Differential Equations, 1998, 144:441-476.
  • 10Hardy G, Littlewood J E, Polya G. Inequalities. Cambridge, UK: Cambridge Univ Press, 1934.

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Acta Mathematica Scientia
2004年 第1期

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