Regularity of Weak Solutions to a Model Problem with Conjugation Conditions for Quasilinear Parabolic Systems of Equations
- Autores: Arkhipova A.1
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Afiliações:
- St. Petersburg State University
- Edição: Volume 219, Nº 6 (2016)
- Páginas: 850-873
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238722
- DOI: https://doi.org/10.1007/s10958-016-3151-0
- ID: 238722
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Resumo
We consider a parabolic quasilinear second order system of equations in divergence form in a model parabolic cylinder. We prove the Hölder continuity of a weak solution on a set of full measure in the cylinder. It is shown that the linear system has no singular set. We use a modified method of A-caloric approximation which takes into account the conjugation conditions on the interface between media.
Sobre autores
A. Arkhipova
St. Petersburg State University
Autor responsável pela correspondência
Email: arinaark@gmail.com
Rússia, 28, Universitetskii pr., Petrodvorets, St. Petersburg, 198504