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- W3090075029 abstract "We consider the defocusing, energy subcritical wave equation $partial_t^2 u - Delta u = -|u|^{p-1} u$ in dimension $d in {3,4,5}$ and prove the exterior scattering of solutions if $3leq d leq 5$ and $1+6/d<p<1+4/(d-2)$. More precisely, given any solution with a finite energy, there exists a solution $u_L$ to the homogeneous linear wave equation, so that the following limit holds [ lim_{trightarrow +infty} int_{|x|>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." @default.
- W3090075029 created "2020-10-08" @default.
- W3090075029 creator A5084151289 @default.
- W3090075029 date "2020-09-29" @default.
- W3090075029 modified "2023-09-27" @default.
- W3090075029 title "Exterior scattering of non-radial solutions to energy subcritical wave equations." @default.
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