Infinite-time Bubbling in the Critical Nonlinear Heat Equation

来源 :非线性偏微分方程和数学物理研讨会(NPDEMP 2016) | 被引量 : 0次 | 上传用户:gnbsr
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  In this talk I will present two results concerning construction of infinite time bubbling solutions for critical nonlinear heat equations of Fujita type.The first result is on a smooth bounded domain Ω in Rn,n≥ 5.We consider the classical semilinear heat equation at the critical Sobolev exponent ut =△u+un+2/n-2 in Ω×(0,∞), u = 0 on(e)Ω(0,∞).
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