{"oa_version":"Preprint","_id":"22027","oa":1,"page":"1-17","article_type":"original","extern":"1","abstract":[{"text":"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.","lang":"eng"}],"author":[{"full_name":"Hu, Nicholas","first_name":"Nicholas","last_name":"Hu"},{"full_name":"Killip, Rowan","last_name":"Killip","first_name":"Rowan"},{"last_name":"Visan","first_name":"Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","full_name":"Visan, Monica"}],"external_id":{"arxiv":["2307.00829"]},"keyword":["dispersive equations","nonlinear wave equation","semilinear wave equation","scattering","inverse scattering","deconvolution"],"date_updated":"2026-06-22T10:35:34Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","year":"2025","volume":7,"intvolume":"         7","date_published":"2025-01-22T00:00:00Z","citation":{"mla":"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>.","ieee":"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.","chicago":"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>.","ama":"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>","short":"N. Hu, R. Killip, M. Vişan, Pure and Applied Analysis 7 (2025) 1–17.","apa":"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>","ista":"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."},"article_processing_charge":"No","quality_controlled":"1","publication":"Pure and Applied Analysis","month":"01","language":[{"iso":"eng"}],"OA_place":"repository","publisher":"Mathematical Sciences Publishers","OA_type":"green","title":"Deconvolutional determination of the nonlinearity in a semilinear wave equation","issue":"1","publication_identifier":{"issn":["2578-5893"],"eissn":["2578-5885"]},"scopus_import":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2307.00829","open_access":"1"}],"date_created":"2026-06-19T07:36:00Z","arxiv":1,"doi":"10.2140/paa.2025.7.1","das_tickbox":"1","status":"public","type":"journal_article","day":"22"}