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