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半线性热方程解的支集的瞬间收缩性质 被引量：1

Large Instantaneous Shrinking of the Support for Solutions to Certain Semilinear Heat Equations
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摘要 对带有强吸收项的半线性热方程的解作了研究,当初值在无穷远处消失时讨论了解的支集的瞬间收缩性质,并得出了强吸收项与初值之间的具体依赖关系. This paper considers the solution of the Cauchy problem to certain semilinear heat equations with strong absorption, presents a discussion of shrinking property of the support of the solution with the initial data which vanishes at infinity, and gets the relationship between the initial data and the strong absorption.
作者 张景军 李宏杰 马宗蔚
机构地区 嘉兴学院数学与信息工程学院数学系 东华大学信息科学与技术学院
出处 《西南师范大学学报（自然科学版）》 CAS CSCD 北大核心 2008年第5期43-47,共5页 Journal of Southwest China Normal University(Natural Science Edition)
基金 嘉兴学院科研重点课题资助项目(70107003)．
关键词 强吸收项 支集的瞬间收缩性 半线性热方程 strong absorption instantaneous shrinking of the support semilinear heat equation
分类号 O175.26 [理学—基础数学]
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参考文献7

  • 1王玉兰,宋小军,张岩.一类反应扩散方程组的解的爆破(英文)[J].西南师范大学学报（自然科学版）,2006,31(5):43-46. 被引量：6
  • 2李中平,王雄瑞,周军.一类带有局部化源的反应扩散方程组解的整体存在性及爆破[J].西南师范大学学报（自然科学版）,2007,32(3):15-18. 被引量：6
  • 3Evans L C, Knerr B F. Instantaneous Shrinking of the Support of Nonnegative Solutions to Certain Nonlinear Parabolic Equations and Variational Inequalities [J]. Illinois J Math, 1979, 23:153 -166.
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二级参考文献12

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共引文献9

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西南师范大学学报（自然科学版）
2008年 第5期

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