Regularity of Weak Solutions to a Model Problem with Conjugation Conditions for Quasilinear Parabolic Systems of Equations
- Авторлар: Arkhipova A.1
-
Мекемелер:
- St. Petersburg State University
- Шығарылым: Том 219, № 6 (2016)
- Беттер: 850-873
- Бөлім: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238722
- DOI: https://doi.org/10.1007/s10958-016-3151-0
- ID: 238722
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
A. Arkhipova
St. Petersburg State University
Хат алмасуға жауапты Автор.
Email: arinaark@gmail.com
Ресей, 28, Universitetskii pr., Petrodvorets, St. Petersburg, 198504