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arXiv · 2608.17339

Scattering and nonlinear recovery for the 1$d$ NLW with localized nonlinearity

Luccas Campos·Jason Murphy·Renzo Scarpelli
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Abstract

We consider the wave equation in 1$d$ with a spatially-localized cubic nonlinearity. We establish scattering in a weighted space and demonstrate the injectivity of the scattering map, with a corresponding stability estimate for nonlinear recovery.

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Luccas Campos, Jason Murphy, Renzo Scarpelli. 2026-08-18. Scattering and nonlinear recovery for the 1$d$ NLW with localized nonlinearity. https://arxiv.org/abs/2608.17339

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