Probabilistic well-posedness for supercritical wave equation on \mathbbT³

2015/08/02 by Sun, Chenmin, Xia, Bo
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1508.00228

Abstract

In this article, we follow the strategies, listed in \citeBurq2011 and \citeOhPo, in dealing with supercritical cubic and quintic wave equations, we obtain that, the equation \beginequation* \ \beginsplit &(∂²_t-Δ)u+|u|^p-1u=0, 3

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