Hölder continuity of local weak solutions for parabolic equations exhibiting tw...

• Autor(es): Urbano, José Miguel
• Data: 1999
• Identificador Persistente: http://hdl.handle.net/10316/11553
• Origem: Estudo Geral - Universidade de Coimbra
• Assunto(s): Degenerate parabolic equations; Intrinsic rescaling; Degeneracies like powers
• Tipo de Documento: Preprint
• Idioma: Inglês

Descrição

We consider equations of the form atv - div(Q ( v)Vv) == 0 , where v E [0,1] and Q(v) degenerates for v == 0 and v == 1. We show that local weak solutions are locally Holder continuous provided Q behaves like a power near the two degeneracies. We adopt the technique of intrinsic rescaling developed by DiBenedetto. CMUC/FCT, Praxis XXI (projects Praxis/2/2.1/MAT/125/94, Praxis/2/2.1/MAT/458/94); Fundação Luso-Americana para o Desenvolvimento (FLAD)