article Deconvolutional determination of the nonlinearity in a semilinear wave equation published yes Nicholas Hu author Rowan Killip author Monica Visan author 056daca0-b8d1-11f0-964f-f91054abf8ca We demonstrate that in three space dimensions, the scattering behaviour of semilinear wave equations with quintic-type nonlinearities uniquely determines the nonlinearity. The nonlinearity is permitted to depend on both space and time. Mathematical Sciences Publishers2025 eng dispersive equationsnonlinear wave equationsemilinear wave equationscatteringinverse scatteringdeconvolution Pure and Applied Analysis 2578-5893 2578-5885 2307.0082910.2140/paa.2025.7.1 711-17 yes Hu N, Killip R, Vişan M. Deconvolutional determination of the nonlinearity in a semilinear wave equation. <i>Pure and Applied Analysis</i>. 2025;7(1):1-17. doi:<a href="https://doi.org/10.2140/paa.2025.7.1">10.2140/paa.2025.7.1</a> Hu, Nicholas, Rowan Killip, and Monica Vişan. “Deconvolutional Determination of the Nonlinearity in a Semilinear Wave Equation.” <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers, 2025. <a href="https://doi.org/10.2140/paa.2025.7.1">https://doi.org/10.2140/paa.2025.7.1</a>. N. Hu, R. Killip, and M. Vişan, “Deconvolutional determination of the nonlinearity in a semilinear wave equation,” <i>Pure and Applied Analysis</i>, vol. 7, no. 1. Mathematical Sciences Publishers, pp. 1–17, 2025. Hu, Nicholas, et al. “Deconvolutional Determination of the Nonlinearity in a Semilinear Wave Equation.” <i>Pure and Applied Analysis</i>, vol. 7, no. 1, Mathematical Sciences Publishers, 2025, pp. 1–17, doi:<a href="https://doi.org/10.2140/paa.2025.7.1">10.2140/paa.2025.7.1</a>. Hu N, Killip R, Vişan M. 2025. Deconvolutional determination of the nonlinearity in a semilinear wave equation. Pure and Applied Analysis. 7(1), 1–17. Hu, N., Killip, R., &#38; Vişan, M. (2025). Deconvolutional determination of the nonlinearity in a semilinear wave equation. <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers. <a href="https://doi.org/10.2140/paa.2025.7.1">https://doi.org/10.2140/paa.2025.7.1</a> N. Hu, R. Killip, M. Vişan, Pure and Applied Analysis 7 (2025) 1–17. 220272026-06-19T07:36:00Z2026-06-22T10:35:34Z