Two-Phase Problem for Quasilinear Parabolic Systems with Nondiagonal Principal Matrix. Regularity of Weak Solutions
| Autor: | Arina A. Arkhipova |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Statistics and Probability
Applied Mathematics General Mathematics 010102 general mathematics Principal (computer security) Mathematical analysis Hölder condition Phase problem 01 natural sciences Measure (mathematics) 010305 fluids & plasmas Set (abstract data type) Matrix (mathematics) 0103 physical sciences Linear problem 0101 mathematics Mathematics |
| Zdroj: | Journal of Mathematical Sciences. 242:25-51 |
| ISSN: | 1573-8795 1072-3374 |
| Popis: | We study the regularity of weak solutions to the two-phase the problem for quasilinear parabolic systems with nondiagonal principal matrices. We prove the Holder 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 Holder continuity in a neighborhood of the medium interface. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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