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Parabolic Obstacle Problems. Quasi-convexity and Regularity

arXiv:1601.01516 · doi:10.2422/2036-2145.201703_008

Abstract

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.

48 pages