[{"issue":"1","_id":"22027","external_id":{"arxiv":["2307.00829"]},"extern":"1","author":[{"last_name":"Hu","full_name":"Hu, Nicholas","first_name":"Nicholas"},{"last_name":"Killip","full_name":"Killip, Rowan","first_name":"Rowan"},{"first_name":"Monica","full_name":"Visan, Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","last_name":"Visan"}],"intvolume":"         7","volume":7,"date_published":"2025-01-22T00:00:00Z","article_processing_charge":"No","page":"1-17","publisher":"Mathematical Sciences Publishers","year":"2025","article_type":"original","OA_place":"repository","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Deconvolutional determination of the nonlinearity in a semilinear wave equation","OA_type":"green","keyword":["dispersive equations","nonlinear wave equation","semilinear wave equation","scattering","inverse scattering","deconvolution"],"oa":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"}],"mathsc":["35L70","35P25","35R30"],"date_created":"2026-06-19T07:36:00Z","publication":"Pure and Applied Analysis","publication_identifier":{"issn":["2578-5893"],"eissn":["2578-5885"]},"type":"journal_article","date_updated":"2026-06-24T13:24:38Z","month":"01","publication_status":"published","day":"22","doi":"10.2140/paa.2025.7.1","arxiv":1,"language":[{"iso":"eng"}],"quality_controlled":"1","oa_version":"Preprint","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2307.00829"}],"status":"public","citation":{"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>","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>","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.","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.","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>.","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>.","short":"N. Hu, R. Killip, M. Vişan, Pure and Applied Analysis 7 (2025) 1–17."},"scopus_import":"1"}]