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arXiv · 1912.06795

Scattering for critical wave equations with variable coefficients

Shi-Zhuo Looi·Mihai Tohaneanu
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Abstract

We prove that solutions to the quintic semilinear wave equation with variable coefficients in $\mathbb R^{1+3}$ scatter to a solution to the corresponding linear wave equation. The coefficients are small and decay as $|x|\to\infty$, but are allowed to be time dependent. The proof uses local energy decay estimates to establish the decay of the $L^6$ norm of the solution as $t\to\infty$.

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Shi-Zhuo Looi, Mihai Tohaneanu. 2019-12-14. Scattering for critical wave equations with variable coefficients. https://doi.org/10.1017/s0013091521000158

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