Abstract
We study scattering theory and self-similar solutions for the nonlinear wave equation $\Box u+\lambda|u|^{p-1}u=0$ in two or three space dimensions under the assumption $p_0(n) <p <1+4/(n-1)$, where $p_0(n)$ is the larger root of the equation $(n-1)p^2-(n+1)p-2=0$. The relation between the theory of scattering and that of self-similar solutions is considered from the point of view of asymptotically free solutions and asymptotically self-similar solutions.
Citation
Kunio Hidano. "Scattering and self-similar solutions for the nonlinear wave equation." Differential Integral Equations 15 (4) 405 - 462, 2002. https://doi.org/10.57262/die/1356060843
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