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关于“拟线性抛物型方程解的爆破时间的界”的一个注解(英文) 被引量:1

A Remark on Bounds for the Blowup Time of the Solutions to Quasilinear Parabolic Problems
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摘要 本文研究在空间维数是一维和二维情形下,一类拟线性抛物型方程在狄利克雷边界条件下的初边值问题.我们获得爆破速度和爆破时间的估计. In this paper, we consider the initial boundary value problem for a class of quasilinear parabolic equation subject to Dirichlet boundary condition in one space-dimension or two space-di- mension. We obtain the estimates of the blowup rate and the bounds for blowup time.
作者 王宁
出处 《应用数学》 CSCD 北大核心 2015年第2期299-302,共4页 Mathematica Applicata
关键词 拟线性抛物型方程 爆破时间的界 爆破速率 Quasilinear parabolic equation Bounds for blow-up time Blowup rate
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  • 1BAO Aiguo,SONG Xianfa. Bounds for the blowup time of the solutions to quasi-linear parabolic prob- lems[J]. Z. Angew. Math. Phys. ,2014,65:115-123.
  • 2Payne L E,Philippin G A,Schaefer P W. Blow-up phenomena for some nonlinear parabolic problems[J]. Nonlinear Anal. , 2008,69 : 3495-3502.
  • 3Payne L E,Philippin G A,Schaefer P W. Bounds for blow-up time in nonlinear parabolic problems[J]. J. Math. Anal. Appl. , 2008,338 : 438-447.
  • 4Payne L E,Schaefer P W. Lower bounds for blow-up time in parabolic problems under Dirichlet condi- tions[J]. J. Math. Anal. Appl. , 2007,328 : 1196-1205.
  • 5Payne L E,Schaefer P W. Bounds for blow-up time for the heat equation under nonlinear boundary condi- tions[J]. Proc. Roy. Soc. Edinburgh Sect. A. , 2009,139 : 1289-1296.
  • 6Payne L E,Song J C. Lower bounds for the blow-up time in a nonliner parabolic problem[J]. J. Mah. A- nal. Appl. , 2009,354 : 394-396.
  • 7Payne L E, Song J C. Lower bounds for blow-up in a model of chemotaxis[J]. J. Math. Anal. Appl. , 2012,385 : 672-676.
  • 8SONG Xianfa, LV Xiaoshuang. Bounds for the blowup time and blowup rate estimates for a type of para- bolic equations with weighted source[J]. Appl. Math. Comput. , 2014,236: 78-92.
  • 9LV Xiaoshuang,SONG Xianfa. Bounds of the blowup time in parabolic equations with weighted source under nonhomogeneous Neumann boundary condition[J]. Math. Meth. Appl. Sci. , 2014,37:1019-1028.

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