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

2026/07/20 by Xi Chen, Shuai Lu, Ruochong Zhang
#math.AP

paper · pdf

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.

Citations

• Uniqueness result for semi-linear wave equations with sources
• Fourier integral operators. II

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