Critical exponent for damped wave equations with nonlinear memory - Mathematics > Analysis of PDEsReport as inadecuate




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Abstract: We consider the Cauchy problem in $\mathbb{R}^n,$ $n\geq 1,$ for a semilineardamped wave equation with nonlinear memory. Global existence and asymptoticbehavior as $t ightarrow\infty$ of small data solutions have been establishedin the case when $1\leq n\leq3.$ Moreover, we derive a blow-up result undersome positive data in any dimensional space.



Author: Ahmad Fino LaMA-Liban, LMA-PAU

Source: https://arxiv.org/







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