Unique inversion of smooth nonlinearity in semilinear wave equations on Lorentzian manifolds

arXiv Math

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Abstract

We study the recovery of a smooth nonlinearity in semilinear wave equations on globally hyperbolic Lorentzian manifolds.

Our approach combines higher-order linearization with distorted plane waves and Gaussian beams, using three-wave, four-wave, and m-wave interactions to recover different Taylor coefficients.

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Unique inversion of smooth nonlinearity in semilinear wave equations on Lorentzian manifolds

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