Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11421
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Henriques, Eurica | - |
dc.contributor.author | Urbano, José Miguel | - |
dc.date.accessioned | 2009-09-15T09:37:28Z | - |
dc.date.available | 2009-09-15T09:37:28Z | - |
dc.date.issued | 2004 | - |
dc.identifier.citation | Pré-Publicações DMUC. 04-07 (2004) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11421 | - |
dc.description.abstract | We prove that local weak solutions of a nonlinear parabolic equation with a doubly singular character are locally continuous. One singularity occurs in the time derivative and is due to the presence of a maximal monotone graph; the other comes up in the principal part of the PDE, where the p-Laplace operator is considered. The paper extends to the singular case 1 < p < 2, the results obtained previously by the second author for the degenerate case p > 2; it completes a regularity theory for a type of PDEs that model phase transitions for a material obeying a nonlinear law of di usion. | en_US |
dc.description.sponsorship | CMUC/FCT; Project POCTI/34471/MAT/2000 | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | en_US |
dc.subject | Doubly singular PDE | en_US |
dc.subject | Regularity theory | en_US |
dc.subject | Intrinsic scaling | en_US |
dc.subject | Phase transition | en_US |
dc.title | On the doubly singular equation g(u)t= Dpu | en_US |
dc.type | preprint | en_US |
uc.controloAutoridade | Sim | - |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairetype | preprint | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-5715-2588 | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Nacionais |
Files in This Item:
File | Description | Size | Format | |
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On the doubly singular equation g(u)t= Dpu.pdf | 300.87 kB | Adobe PDF | View/Open |
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