Regularity of free boundaries in obstacle problems for integro-differential operators
نویسندگان
چکیده
منابع مشابه
Obstacle problems for integro-differential operators: regularity of solutions and free boundaries
We study the obstacle problem for integro-differential operators of order 2s, with s ∈ (0, 1). Our main result establishes that the free boundary is C and u ∈ C near all regular points. Namely, we prove the following dichotomy at all free boundary points x0 ∈ ∂{u = φ}: (i) either u(x)− φ(x) = c d(x) + o(|x− x0|) for some c > 0, (ii) or u(x)− φ(x) = o(|x− x0|), where d is the distance to the con...
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ژورنال
عنوان ژورنال: Séminaire Laurent Schwartz — EDP et applications
سال: 2017
ISSN: 2266-0607
DOI: 10.5802/slsedp.115