Enviar artigo por via de e-mail Two-Phase Problem for Quasilinear Parabolic Systems with Nondiagonal Principal Matrix. Regularity of Weak Solutions
- Autores: Arkhipova A.1
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Afiliações:
- St. Petersburg State University
- Edição: Volume 242, Nº 1 (2019)
- Páginas: 25-51
- Seção: 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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Resumo
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.
Sobre autores
A. Arkhipova
St. Petersburg State University
Autor responsável pela correspondência
Email: arina@AA1101.spb.edu
Rússia, 28, Universitetskii pr., St. Petersburg, Petrodvorets, 198504
