期刊文献+

带有点源和非局部边界条件的抛物方程解的爆破模式

Blowup Profile of a Parabolic Equation with Localized Source and Non-local Boundary Condition
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摘要 研究了带点源和非局部边界条件的)物方程,讨论了局部源和非局部边界条件对方程解的爆破性质的影响,得到了在一定条件下的爆破解的爆破模式。 In this paper, we investigated the parabolic equation with localized source and non-local boundary condition, and considered the effect of the localized source and non-local boundary condition. Under some suitable assumptions, we obtained the uniform blowup profile of the blowup solution.
出处 《重庆理工大学学报(自然科学)》 CAS 2011年第4期123-126,共4页 Journal of Chongqing University of Technology:Natural Science
基金 国家自然科学基金资助项目(11071266)
关键词 爆破 点源 非局部边界 爆破模式 blowup localized source non-local boundary blowup profile
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参考文献11

  • 1Chadam R S,Cosner C. Diffusive logistic equation with indefinite weights:population models in disrupted environments II[ J ]. SIAM J Math Anal, 1992,169:313 - 328.
  • 2Diaz J I. On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium [ J ]. J Differ Equat, 1987,69 : 368 - 403.
  • 3Chen Y P, Xie C H. Blow-up for a porous medium equattion with a localized source [ J ]. Appl Math Comptu,2004,159:79 -93.
  • 4Deng K. Comparision principle for some nonlinear problems[ J]. Quart Appl Math, 1992,50:517 -522.
  • 5Friedman A. Monotonic decay of solutions of parabolic equations with nonlocal boundary conditions[ J ]. Quart Appl Math, 1986, 44:401 - 407.
  • 6Du L L, Xiang Z Y. A further blow-up analysis for a localized porous medium equation[J]. App Math Comptu,2006,179:200 - 208.
  • 7Wang Y L, Mu C L, Xiang Z Y. Blowup of solutions to a porous medium equation with nonlocal boundary condition[J]. Appl Math Comptu,2007,192:579 - 585.
  • 8Gao Y Z, Gao W J. Existence and blow-up of solutions for a porous medium equation with nonlocal boundary condition [ J ]. Appl Anal I First ,2010,122 : 1 - 11.
  • 9Pao C V. Asymptotic behavior of solutions of reaction-diffusion equations with nonlocal boundary conditions [ J ]. J Comp and Appl Math, 1998,88:225 - 238.
  • 10Seo S. Global existence and decreasing property of boundary values of solutions to parabolic equations with nonlocal boundary conditions [ J ]. Paci J Math,2000,193:219 - 226.

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