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arXiv · 2102.01136

Weighted mixed norm estimates for fractional wave equations with VMO coefficients

Hongjie Dong·Yanze Liu
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Abstract

This paper is a comprehensive study of $L_p$ estimates for time fractional wave equations of order $\alpha \in (1,2)$ in the whole space, a half space, or a cylindrical domain. We obtain weighted mixed-norm estimates and solvability of the equations in both non-divergence form and divergence form when the leading coefficients have small mean oscillation in small cylinders.

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Hongjie Dong, Yanze Liu. 2021-02-01. Weighted mixed norm estimates for fractional wave equations with VMO coefficients. https://arxiv.org/abs/2102.01136

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