Abstract
We consider equations of the form $${\partial}_{t} v - \mbox{div} ( \alpha (v) \nabla v) = 0 \ , $$ where $v \in [0,1]$ and $\alpha (v)$ degenerates for $v=0$ and $v=1$. We show that local weak solutions are locally Hölder continuous provided $\alpha$ behaves like a power near the two degeneracies. We adopt the technique of intrinsic rescaling developed by DiBenedetto.
Citation
José Miguel Urbano. "Hölder continuity of local weak solutions for parabolic equations exhibiting two degeneracies." Adv. Differential Equations 6 (3) 327 - 358, 2001. https://doi.org/10.57262/ade/1357141214
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