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On local smoothing estimates for wave equations (2502.05973v1)
Published 9 Feb 2025 in math.AP and math.CA
Abstract: We prove sharp local smoothing estimates for wave equations on compact Riemannian manifolds in 3+1 dimensions and obtained improved estimates in higher dimensions. This is achieved by deriving local smoothing estimates for certain Fourier integral operators. We also obtain improved local smoothing estimates for wave equations in Euclidean spaces.
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