Email this article Two-Phase Problem for Quasilinear Parabolic Systems with Nondiagonal Principal Matrix. Regularity of Weak Solutions
- Authors: Arkhipova A.A.1
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Affiliations:
- St. Petersburg State University
- Issue: Vol 242, No 1 (2019)
- Pages: 25-51
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242948
- DOI: https://doi.org/10.1007/s10958-019-04465-w
- ID: 242948
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Abstract
We study the regularity of weak solutions to the two-phase the problem for quasilinear parabolic systems with nondiagonal principal matrices. We prove the Hölder continuity of solutions on a set of full measure with an estimate for the admissible singular set. For solutions to the corresponding linear problem we establish the Hölder continuity in a neighborhood of the medium interface.
About the authors
A. A. Arkhipova
St. Petersburg State University
Author for correspondence.
Email: arina@AA1101.spb.edu
Russian Federation, 28, Universitetskii pr., St. Petersburg, Petrodvorets, 198504
