Scattering for critical wave equations with variable coefficients
نویسندگان
چکیده
Abstract We prove that solutions to the quintic semilinear wave equation with variable coefficients in ${{\mathbb {R}}}^{1+3}$ scatter a solution corresponding linear equation. The are small and decay as $|x|\to \infty$ , but allowed be time dependent. proof uses local energy estimates establish of $L^{6}$ norm $t\to .
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 2021
ISSN: ['1464-3839', '0013-0915']
DOI: https://doi.org/10.1017/s0013091521000158