تقرير
A nonlocal free boundary problem
| العنوان: | A nonlocal free boundary problem |
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| المؤلفون: | Dipierro, Serena, Savin, Ovidiu, Valdinoci, Enrico |
| سنة النشر: | 2014 |
| المجموعة: | Weierstrass Institute for Applied Analysis and Stochastics publication server |
| مصطلحات موضوعية: | article, ddc:510, 35R11, 35R35, 49Q20, 49Q05, Fractional perimeter -- minimization problem -- monotonicity formula -- classification of cones |
| الوصف: | We consider a nonlocal free boundary problem built by a fractional Dirichlet norm plus a fractional perimeter. Among other results, we prove a monotonicity formula for the minimizers, glueing lemmata, uniform energy bounds, convergence results, a regularity theory for the planar cones and a trivialization result for the flat case. Several classical free boundary problems are limit cases of the one that we consider in this paper. |
| نوع الوثيقة: | report |
| اللغة: | English |
| العلاقة: | https://doi.org/10.20347/WIAS.PREPRINT.2042Test; https://archive.wias-berlin.de/receive/wias_mods_00002110Test; https://archive.wias-berlin.de/servlets/MCRFileNodeServlet/wias_derivate_00002024/wias_preprints_2042.pdfTest; http://www.wias-berlin.de/publications/wias-publ/run.jsp?template=abstract&type=Preprint&year=2014&number=2042Test |
| DOI: | 10.20347/WIAS.PREPRINT.2042 |
| الإتاحة: | https://doi.org/10.20347/WIAS.PREPRINT.2042Test https://archive.wias-berlin.de/receive/wias_mods_00002110Test https://archive.wias-berlin.de/servlets/MCRFileNodeServlet/wias_derivate_00002024/wias_preprints_2042.pdfTest http://www.wias-berlin.de/publications/wias-publ/run.jsp?template=abstract&type=Preprint&year=2014&number=2042Test |
| حقوق: | all rights reserved ; info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.19DBF3FC |
| قاعدة البيانات: | BASE |
| DOI: | 10.20347/WIAS.PREPRINT.2042 |
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