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https://hdl.handle.net/10316/11553| Title: | Hölder continuity of local weak solutions for parabolic equations exhibiting two degeneracies | Authors: | Urbano, José Miguel | Keywords: | Degenerate parabolic equations; Intrinsic rescaling; Degeneracies like powers | Issue Date: | 1999 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 99-18 (1999) | Abstract: | 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. | URI: | https://hdl.handle.net/10316/11553 | Rights: | openAccess |
| Appears in Collections: | FCTUC Matemática - Artigos em Revistas Nacionais |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Hölder continuity of local weak solutions.pdf | 366.06 kB | Adobe PDF | View/Open |
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