[{"oa":1,"article_processing_charge":"No","publication_status":"published","date_updated":"2026-06-30T11:32:27Z","date_published":"2019-03-01T00:00:00Z","article_type":"original","month":"03","publisher":"European Mathematical Society Press","das_tickbox":"1","status":"public","issue":"3","year":"2019","publication_identifier":{"issn":["0213-2230"],"eissn":["2235-0616"]},"OA_place":"repository","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Preprint","OA_type":"green","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1509.03592"}],"language":[{"iso":"eng"}],"title":"Mass-critical inverse Strichartz theorems for 1d Schrödinger operators","volume":35,"date_created":"2026-06-19T08:25:23Z","day":"01","abstract":[{"text":"We prove inverse Strichartz theorems at L^2 regularity for a family of Schrödinger evolutions in one space dimension. Prior results rely on spacetime Fourier analysis and are limited to the translation-invariant equation i∂ t​ u=−1/2 Δu. Motivated by applications to the mass-critical Schrödinger equation with external potentials (such as the harmonic oscillator), we use a physical space approach.","lang":"eng"}],"scopus_import":"1","extern":"1","quality_controlled":"1","author":[{"last_name":"Jao","first_name":"Casey","full_name":"Jao, Casey"},{"last_name":"Killip","first_name":"Rowan","full_name":"Killip, Rowan"},{"first_name":"Monica","full_name":"Visan, Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","last_name":"Visan"}],"page":"703-730","_id":"22077","doi":"10.4171/rmi/1067","publication":"Revista Matemática Iberoamericana","type":"journal_article","external_id":{"arxiv":["1509.03592"]},"citation":{"chicago":"Jao, Casey, Rowan Killip, and Monica Vişan. “Mass-Critical Inverse Strichartz Theorems for 1d Schrödinger Operators.” <i>Revista Matemática Iberoamericana</i>. European Mathematical Society Press, 2019. <a href=\"https://doi.org/10.4171/rmi/1067\">https://doi.org/10.4171/rmi/1067</a>.","short":"C. Jao, R. Killip, M. Vişan, Revista Matemática Iberoamericana 35 (2019) 703–730.","ista":"Jao C, Killip R, Vişan M. 2019. Mass-critical inverse Strichartz theorems for 1d Schrödinger operators. Revista Matemática Iberoamericana. 35(3), 703–730.","apa":"Jao, C., Killip, R., &#38; Vişan, M. (2019). Mass-critical inverse Strichartz theorems for 1d Schrödinger operators. <i>Revista Matemática Iberoamericana</i>. European Mathematical Society Press. <a href=\"https://doi.org/10.4171/rmi/1067\">https://doi.org/10.4171/rmi/1067</a>","ama":"Jao C, Killip R, Vişan M. Mass-critical inverse Strichartz theorems for 1d Schrödinger operators. <i>Revista Matemática Iberoamericana</i>. 2019;35(3):703-730. doi:<a href=\"https://doi.org/10.4171/rmi/1067\">10.4171/rmi/1067</a>","mla":"Jao, Casey, et al. “Mass-Critical Inverse Strichartz Theorems for 1d Schrödinger Operators.” <i>Revista Matemática Iberoamericana</i>, vol. 35, no. 3, European Mathematical Society Press, 2019, pp. 703–30, doi:<a href=\"https://doi.org/10.4171/rmi/1067\">10.4171/rmi/1067</a>.","ieee":"C. Jao, R. Killip, and M. Vişan, “Mass-critical inverse Strichartz theorems for 1d Schrödinger operators,” <i>Revista Matemática Iberoamericana</i>, vol. 35, no. 3. European Mathematical Society Press, pp. 703–730, 2019."},"intvolume":"        35","arxiv":1}]