dc.contributor.author | Ciprian, G. Gal | |
dc.contributor.author | Warma, Mahamadi | |
dc.date.accessioned | 2017-05-24T16:23:31Z | |
dc.date.available | 2017-05-24T16:23:31Z | |
dc.date.issued | 2017-02-28 | |
dc.identifier.citation | Communications in Partial Differential Equations 2017 42:4, 579-625, DOI: 10.1080/03605302.2017.1295060 | en_US |
dc.identifier.issn | 0360-5302 (Print) | |
dc.identifier.issn | 1532-4133 (Online) | |
dc.identifier.uri | http://hdl.handle.net/11721/1596 | |
dc.description | Accepted author version posted online: 28 Feb 2017. Published online: 28 Feb 2017. | en_US |
dc.description.abstract | We consider a transmission problem consisting of two semilinear parabolic equations involving fractional diffusion operators of different orders in a general non-smooth setting with emphasis on Lipschitz interfaces and transmission conditions along the interface. We give a unified framework for the existence and uniqueness of strong and mild solutions, and their global regularity properties. | en_US |
dc.description.sponsorship | The work of Mahamadi Warma is partially supported by the Air Force O ce of Scienti c Research
under the Award No [FA9550-15-1-0027]. | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | Taylor & Francis | en_US |
dc.subject | Existence and regularity of solutions | en_US |
dc.subject | Fractional diffusion | en_US |
dc.subject | Nonlocal transmission problem | en_US |
dc.subject | Semilinear parabolic equations | en_US |
dc.title | Nonlocal transmission problems with fractional diffusion and boundary conditions on non-smooth interfaces | en_US |
dc.type | Article | en_US |
dc.description.Faculty | College of Natural Sciences | en_US |
dc.description.Department | Department of Mathematics | en_US |
dc.contributor.campus | University of Puerto Rico, Río Piedras Campus | |