Browsing by Author "Caffarelli, Luis"
Now showing items 1-2 of 2
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Article
On the regularity of the non-dynamic parabolic fractional obstacle problem
Athanasopoulos, Ioannis; Caffarelli, Luis; Milakis, Emmanouil (2018)In the class of the non-dynamic Fractional Obstacle Problems of parabolic type, it is shown existence, uniqueness, apriori bounds of the solution and optimal regularity of the space derivatives of the solution. Furthermore, ...
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Article
Parabolic Obstacle Problems. Quasi-convexity and Regularity
Athanasopoulos, Ioannis; Caffarelli, Luis; Milakis, Emmanouil (2019)In a wide class of the so called Obstacle Problems of parabolic type it is shown how to improve the optimal regularity of the solution and as a consequence how to obtain space-time regularity of the corresponding free boundary.