Weighted mixed norm estimates for fractional wave equations with VMO coefficients
Abstract
This paper is a comprehensive study of Lp estimates for time fractional wave equations of order α ∈ (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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