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拟线性退化抛物方程组解的整体存在性 被引量:1

Global Existence of Solutions for a Quasilinear Degenerate Parabolic Equation System
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摘要 考虑一类带有齐次Dirichlet边界条件的拟线性退化抛物方程组解的整体存在性问题 ,证明了解的整体存在性不但与指数有关 ,而且也与区域的大小有关 . In this paper we give the conditions for the global existence of solutions for a quasilinear degenerate parabolic equation system with homogeneous Dirichlet boundary data. It is proved that the existence depends unpon not only the index but also the domain.
作者 陈波涛
出处 《四川师范大学学报(自然科学版)》 CAS CSCD 2001年第5期442-443,共2页 Journal of Sichuan Normal University(Natural Science)
关键词 拟线性 退化抛物方程组 齐次边界 整体存在性 齐次边值问题 指数 区域 Quasilinear Degenerate parabolic equation system Homogeneons boundary Global existence of solutions
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参考文献6

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同被引文献11

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  • 9Li Y X, Deng W B, Xie C H. Global existence and nonexistence for degenerate parabolic systems[J]. Proc Amer Math Soc,2002,130:3661~3770.
  • 10柳斌,陈波涛.拟线性退化抛物方程组解的Blow-up[J].四川师范大学学报(自然科学版),2001,24(3):224-226. 被引量:2

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