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Horizontal and Vertical Regularity of Elastic Wave Geometry

Published 20 Nov 2025 in math.DG, math.AG, and math.AP | (2511.16466v1)

Abstract: The elastic properties of a material are encoded in a stiffness tensor field and the propagation of elastic waves is modeled by the elastic wave equation. We characterize analytic and algebraic properties a general anisotropic stiffness tensor field has to satisfy in order for Finsler-geometric methods to be applicable in studying inverse problems related to imaging with elastic waves.

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