Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Caffarelli, Luis"

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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, ...
    • 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.