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arXiv · 2009.13991

Exterior scattering of non-radial solutions to energy subcritical wave equations

Ruipeng Shen
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Abstract

We consider the defocusing, energy subcritical wave equation $\partial_t^2 u - Δu = -|u|^{p-1} u$ in dimension $d \in \{3,4,5\}$ and prove the exterior scattering of solutions if $3\leq d \leq 5$ and $1+6/d t+R} |\nabla_{x,t} u(x,t)- \nabla_{x,t} u_L(x,t)|^2 dx = 0 \] for any fixed real number $R$. This generalize the previously known exterior scattering result in the radial case.

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Ruipeng Shen. 2020-09-29. Exterior scattering of non-radial solutions to energy subcritical wave equations. https://arxiv.org/abs/2009.13991

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