Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/44498
Title: | Optimal design problems with fractional diffusions | Authors: | Teixeira, Eduardo V. Teymurazyan, Rafayel |
Issue Date: | 2015 | Publisher: | Wiley | Serial title, monograph or event: | Journal of the London Mathematical Society | Volume: | 92 | Issue: | 2 | Abstract: | In this article, we study optimization problems ruled by fractional diffusion operators with volume constraints. By means of penalization techniques, we prove existence of solutions. We also show that every solution is locally of class C^{0,α} (optimal regularity), and that the free boundary is a C^{1,γ} surface, up to an H^{n−1}-negligible set. | URI: | https://hdl.handle.net/10316/44498 | ISSN: | 0024-6107 1469-7750 |
DOI: | 10.1112/jlms/jdv034 10.1112/jlms/jdv034 |
Rights: | openAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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TT (2015).pdf | 386.98 kB | Adobe PDF | View/Open |
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