Concentration phenomena in the semilinear parabolic equation

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：shengli1011

【摘要】

：

We prove the existence of the global, but unbounded solution of the semilinear heat equations with critical Sobolev exponent, and that under some assumptions, t

【作者】

：

TAN Zhong

【机构】

：

1.DepartmentofMathematics

【出处】

：

中国科学：数学英文版

【发表日期】

：

2001年1期

【关键词】

：

semilinear 寓言的方程批评 Sobolev 代表存在 ASYMPTOTIC 集中紧密原则 semilinear parabolic equatio

【基金项目】

：

国家自然科学基金

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We prove the existence of the global, but unbounded solution of the semilinear heat equations with critical Sobolev exponent, and that under some assumptions, the global unbounded classical solution concentrates on origin as t→∞.

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Concentration phenomena in the semilinear parabolic equation

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