{"id":3,"date":"2024-07-25T12:30:27","date_gmt":"2024-07-25T12:30:27","guid":{"rendered":"https:\/\/www.ub.edu\/pde\/SSNSD\/?page_id=3"},"modified":"2026-03-24T13:57:27","modified_gmt":"2026-03-24T13:57:27","slug":"publications","status":"publish","type":"page","link":"https:\/\/www.ub.edu\/pde\/SSNSD\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n

Dimension of the singular set in the parabolic obstacle problem,
Alejandro Mart\u00ednez, Xavier Ros-Oton,<\/strong>
preprint arXiv (2026).<\/p>\n\n\n\n

Regularity of Lipschitz free boundaries for weak solutions of Alt-Caffarelli type problems,
Joan Domingo-Pasarin, Xavier Ros-Oton,<\/strong>
preprint arXiv (2026).<\/p>\n\n\n\n

The Neumann problem for the fractional Laplacian: optimal regularity via the Mellin transform,
Serena Dipierro, Xavier Ros-Oton, Enrico Valdinoci, Marvin Weidner,<\/strong>
preprint arXiv (2025).<\/p>\n\n\n\n

Higher regularity in nonlocal free boundary problems,
Bego\u00f1a Barrios, Xavier Ros-Oton, Marvin Weidner,<\/strong>
preprint arXiv (2025).<\/p>\n\n\n\n

Optimal regularity for kinetic Fokker-Planck equations in domains,
Xavier Ros-Oton, Marvin Weidner,<\/strong>
preprint arXiv (2025).<\/p>\n\n\n\n

Nonnegative solutions to nonlocal parabolic equations,
Naian Liao, Marvin Weidner,<\/strong>
Trans. Amer. Math. Soc. (2026), to appear.<\/p>\n\n\n\n

Extinction rates for nonradial solutions to the Stefan problem,
G. Fioravanti, Xavier Ros-Oton, C. Torres-Latorre,<\/strong>
Trans. Amer. Math. Soc. (2026), to appear.<\/p>\n\n\n\n

Time-insensitive nonlocal parabolic Harnack estimates,
Naian Liao, Marvin Weidner,<\/strong>
Proc. Lond. Math. Soc. 130 (2025), e70051.<\/p>\n\n\n\n

Positive solutions to general semilinear overdetermined boundary problems,
Alberto Enciso, Pablo Hidalgo-Palencia, Xavier Ros-Oton,<\/strong>
preprint arXiv (2024).<\/p>\n\n\n\n

Optimal boundary regularity and Green function estimates for nonlocal equations in divergence form,
Minhyun Kim, Marvin Weidner,<\/strong>
J. Eur. Math. Soc. (2026), to appear.<\/p>\n\n\n\n

Regularity for the Boltzmann equation conditional to pressure and moment bounds,
Xavier Fernandez-Real, Xavier Ros-Oton, Marvin Weidner,<\/strong>
Comm. Math. Phys. 406 (2025), 175.<\/p>\n\n\n\n

C^\\infty regularity in semilinear free boundary problems,
Daniel Restrepo, Xavier Ros-Oton,<\/strong>
Math. Ann. 392 (2025), 3397-3446.<\/p>\n\n\n\n

L^p estimates for the Laplacian via blow-up,
Jan Lewenstein-Sanpera, Xavier Ros-Oton,<\/strong>
J. Differential Equations 441 (2025), 113478.<\/p>\n\n\n\n

Improvement of flatness for nonlocal free boundary problems,
Xavier Ros-Oton, Marvin Weidner,<\/strong>
J. Eur. Math. Soc. (2026), to appear.<\/p>\n\n\n\n

Regularity for nonlocal equations with local Neumann boundary conditions,
Xavier Ros-Oton, Marvin Weidner,<\/strong>
Anal. PDE 19 (2026), 353-411.<\/p>\n\n\n\n

Optimal regularity for nonlocal elliptic equations and free boundary problems,
Xavier Ros-Oton, Marvin Weidner,<\/strong>
preprint arXiv (2024).<\/p>\n\n\n\n

The Harnack inequality fails for nonlocal kinetic equations,
Moritz Kassmann, Marvin Weidner,<\/strong>
Adv. Math. 459 (2024) 110030.<\/p>\n\n\n\n

Schauder and Cordes-Nirenberg estimates for nonlocal elliptic equations with singular kernels,
Xavier Fernandez-Real, Xavier Ros-Oton,<\/strong>
Proc. Lond. Math. Soc. 129 (2024), e12629, 47pp.<\/p>\n\n\n\n

Optimal regularity and fine asymptotics for the porous medium equation in bounded domains, 
Tianling Jin, Xavier Ros-Oton, Jingang Xiong,<\/strong>
J. Reine Angew. Math. 809 (2024), 269-300.<\/p>\n\n\n\n

Stable cones in the thin one-phase problem,
Xavier Fernandez-Real, Xavier Ros-Oton,<\/strong>
Amer. J. Math. 146 (2024), 631-685.<\/p>\n\n\n\n

\n
Back<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Dimension of the singular set in the parabolic obstacle problem,Alejandro Mart\u00ednez, Xavier Ros-Oton,preprint arXiv (2026). Regularity of Lipschitz free boundaries for weak solutions of Alt-Caffarelli type problems,Joan Domingo-Pasarin, Xavier Ros-Oton,preprint arXiv (2026). The Neumann problem for the fractional Laplacian: optimal regularity via the Mellin transform,Serena Dipierro, Xavier Ros-Oton, Enrico Valdinoci, Marvin Weidner,preprint arXiv (2025). Higher […]<\/p>\n","protected":false},"author":1,"featured_media":44,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-3","page","type-page","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/www.ub.edu\/pde\/SSNSD\/wp-json\/wp\/v2\/pages\/3","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ub.edu\/pde\/SSNSD\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.ub.edu\/pde\/SSNSD\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.ub.edu\/pde\/SSNSD\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ub.edu\/pde\/SSNSD\/wp-json\/wp\/v2\/comments?post=3"}],"version-history":[{"count":13,"href":"https:\/\/www.ub.edu\/pde\/SSNSD\/wp-json\/wp\/v2\/pages\/3\/revisions"}],"predecessor-version":[{"id":135,"href":"https:\/\/www.ub.edu\/pde\/SSNSD\/wp-json\/wp\/v2\/pages\/3\/revisions\/135"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.ub.edu\/pde\/SSNSD\/wp-json\/wp\/v2\/media\/44"}],"wp:attachment":[{"href":"https:\/\/www.ub.edu\/pde\/SSNSD\/wp-json\/wp\/v2\/media?parent=3"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}