On the regularity of the non-dynamic parabolic fractional obstacle problem
By I. Athanasopoulos, Luis Caffarelli, Emmanouil D. Milakis. Journal of Differential Equations, 2016
52 citations recorded by the source corpus.
In the class of the so called non-dynamic Fractional Obstacle Problems of parabolic type, it is shown how to obtain higher regularity as well as optimal regularity of the space derivatives of the solution. Furthermore, at free boundary points of positive parabolic density, it is proven that the time derivative of the solution is H\"{o}lder continuous. Finally, at regular free boundary points, space-time regularity of the corresponding free boundary is obtained for any fraction $s\in(0,1)$.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/fb48fc284dabdbd35f3248bbc3c0a098fbf783e8
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In Applied Mathematics
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- Nicola Garofalo
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- Scott D. Pauls
- D. Danielli
- D. Nhieu
- Annunziata Loiudice
- A. Domokos
Citations in the corpus
- Monotonicity of generalized frequencies and the strong unique continuation property for fractional parabolic equations (2017, methodology): “aticians also thanks to the work of Caffarelli and Silvestre in [CSi2] in which the authors proved H¨older continuity of viscosity solutions of generalized masters equations. We also mention the paper [ACM], where the obstacle problem for Hshas been studied. • In Section 3 we provide for completeness”