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most citedLocal X-ray Transform on Asymptotically Hyperbolic Manifolds via Projective Compactification

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math.AP2022

Weakly nonlinear geometric optics for the Westervelt equation and recovery of the nonlinearity

Nikolas Eptaminitakis, Plamen Stefanov

We study the non-diffusive Westervelt equation in the weakly nonlinear regime. We show that the leading profile equation is of Burgers' type. We show that a compactly supported non…