Weighted mixed norm estimates for fractional wave equations with VMO coefficients (2102.01136v2)

Published 1 Feb 2021 in math.AP

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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