Optimal design problems with fractional diffusions
نویسندگان
چکیده
منابع مشابه
Optimal design problems with fractional diffusions
In this article we study optimization problems ruled by α-fractional diffusion operators with volume constrains. By means of penalization techniques we prove existence of solutions. We also show that every solution is locally of class C0,α (optimal regularity), and that the free boundary is a C1,α surface, up to a Hn−1-negligible set.
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2015
ISSN: 0024-6107,1469-7750
DOI: 10.1112/jlms/jdv034