The sharp lifespan estimate for semilinear damped wave equation with Fujita critical power in high d

来源 :非线性波动方程研讨会(Workshop on Nonlinear Equations) | 被引量 : 0次 | 上传用户:linxl151
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  This paper is concerned about the lifespan estimate to the Cauchy problem of semilinear damped wave equations withthe Fujita critical exponent in high dimensions$(n\geq 4)$.We establish the sharp upper bound of the lifespan in the following form T(ε)≤ exp(Cε-2/n),by using the heat kernel as the test function.This is a joint work with Prof.Yi Zhou.
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