期刊文献+

一类强耦合退化抛物方程组解的局部和整体存在

Local Existence and Global Existence for A Class of Degenerate and Strongly Coupled Parabolic System with Localized Source
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摘要 本文主要研究了一类带局部源的强耦合退化抛物方程组ut=f(v)(△u+au(x0,t)),ut=g(u)(△u+bv(x0,t))解的局部存在性和整体存在性,并给出了解的整体存在的一个条件. A class of degenerate and strongly coupled parabolic system with localized source,ut = f(v)(△u + au(x0,t)),ut = g(u)(△u + bv(x0,t)) is studied and discussed to obtain one of conditions for global existence of this parabolic system.
出处 《曲靖师范学院学报》 2013年第3期16-19,共4页 Journal of Qujing Normal University
基金 四川省教育厅自然科学重点项目基金资助(09ZA119)
关键词 退化抛物方程组 强耦合 局部源 存在性 degenerate parabolic system strongly coupled localized source existence
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参考文献9

  • 1Wang Mingxin, Xie Chunhong. A degenerate and strongly coupled quasilinear parabolic system not in divergence form[ J]. Zangew. Math. Phys ,2004,55:741 - 755.
  • 2Deng Weibing, Li Yuxiang, Xie Chunhong. Global Exist- ence and nonexistence for a Class of Degenerate Parabol- ic Systems [ J ]. Nonlinear Anal,2003,55:233 - 244.
  • 3Liu Xiaoyan. Global Existence and Blow - up for a qua- silinear parabolic systems with localized sources [ J ]. Afr. Mat. DOI 10. 1007/s13370 - 012 - 0086 - 6.
  • 4Wang Mingxin. Some degenerate and quasilinear para- bolic system not in divergence form [ J ]. J. Math Anal. Appl. ,2002,274:424 -436.
  • 5Zhou Shuangshuang, Zheng Sining. Global blow - up in a degenerate and strongly coupled parabolic system with localized sources [ J ]. Computer and Math with Appl,2010,60:2564 -2571.
  • 6Han Yuzhu, Gao Wenjie. Global Existence and Blow - up for a Class of Degenerate Parabolic Systems with Lo- calized Source [ J ]. Acta Appl Math, 2010, 112 : 251 - 261.
  • 7Winkler M. Large time behavior of solutions to degensate parabolic with absorption [ J ]. NoDEA, 2001,8 : 343 -361.
  • 8Winkler M. Blow - up in a degenerate parabolic equation [J]. Indiana Univ. Math. J. ,2004,53:1414 -1442.
  • 9Winkler M. Blow - tp to a degenerate parabolic equation not in divergence form [ J ]. J. Diferential Equations, 2003,192:445 - 474.

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