R. H. Bing Instructor
Department of Mathematics, RLM 11.108
2515 Speedway, Austin, TX 78712, USA
email: ros.oton at math.utexas.edu
For a complete list of all my articles and preprints (including some expository papers), see complete list of Publications.
Free boundary regularity in the parabolic fractional obstacle problem, pdf
Begoña Barrios, Alessio Figalli, Xavier Ros-Oton,
Submitted, available at arXiv.
The structure of the free boundary in the fully nonlinear thin obstacle problem, pdf
Xavier Ros-Oton, Joaquim Serra
Adv. Math., in press (2017).
Obstacle problems for integro-differential operators: regularity of solutions and free boundaries, pdf
Luis Caffarelli, Xavier Ros-Oton, Joaquim Serra
Invent. Math. 208 (2017), 1155-1211.
Infinite speed of propagation and regularity of solutions to the fractional porous medium equation in general domains, pdf
Matteo Bonforte, Alessio Figalli, Xavier Ros-Oton,
Comm. Pure Appl. Math., in press (2017).
Global regularity for the free boundary in the obstacle problem for the fractional Laplacian, pdf
Begoña Barrios, Alessio Figalli, Xavier Ros-Oton,
Amer. J. Math., in press (2017).
Boundary regularity for fully nonlinear integro-differential equations, pdf
Xavier Ros-Oton, Joaquim Serra,
Duke Math. J. 165 (2016), 2079-2154.
Sharp isoperimetric inequalities via the ABP method, pdf
Xavier Cabré, Xavier Ros-Oton, Joaquim Serra,
J. Eur. Math. Soc. 18 (2016), 2971-2998.
The Pohozaev identity for the fractional Laplacian, pdf
Xavier Ros-Oton, Joaquim Serra,
Arch. Rat. Mech. Anal. 213 (2014), 587-628.
Obstacle problems and free boundaries: an overview, pdf
Xavier Ros-Oton,
Preprint (2017).
Boundary regularity, Pohozaev identities, and nonexistence results, pdf
Xavier Ros-Oton,
Chapter in the book 'Recent developments in the Nonlocal Theory', De Gruyter, 2017.
Nonlocal elliptic equations in bounded domains: a survey, pdf
Xavier Ros-Oton,
Publ. Mat. 60 (2016), 3-26.
Premio Antonio Valle 2017 from the Spanish Society of Applied Mathematics
Award to the best researcher under 34 years. At age 29, I became the youngest winner of the award ever.Premio Vicent Caselles 2015 from the Real Sociedad Matemática Española
Spanish award to the best PhD theses in MathematicsExtraordinary PhD Prize from the Universitat Politecnica de Catalunya
Premi Évariste Galois 2012 from the Societat Catalana de Matemàtiques
Silver Medals at the International Mathematical Competition for university students 2007, 2008, and 2009
Bronze Medal at the International Mathematical Olympiad 2006