Abstract
We study a second-order parabolic equation in divergence form in a spatial domain separated in two parts by a hyperplane. The equation is uniformly parabolic in one of the parts and degenerates with respect to a small parameter $\varepsilon$ on the other part. We show that weak solutions to this equation are Hölder continuous with the Hölder exponent independent of ${\varepsilon}$.
Citation
Yury A. Alkhutov. Vitali Liskevich. "Hölder continuity of solutions to parabolic equations uniformly degenerating on a part of the domain." Adv. Differential Equations 17 (7/8) 747 - 766, July/August 2012. https://doi.org/10.57262/ade/1355702975
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