Regularity theory for fully nonlinear parabolic obstacle problems
نویسندگان
چکیده
We study the free boundary of solutions to parabolic obstacle problem with fully nonlinear diffusion. show that splits into a regular and singular part: near points is C∞ in space time. Furthermore, we prove set locally covered by Lipschitz manifold dimension n−1 which also ε-flat space, for any ε>0.
منابع مشابه
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2023
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2023.110116