Regularity of Solutions to Quasilinear Parabolic Systems with Time-Nonsmooth Principal Matrix and the Neumann Boundary Condition
| Autor: | Arina A. Arkhipova, G. V. Grishina |
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| Rok vydání: | 2018 |
| Předmět: |
Statistics and Probability
Lateral surface Plane (geometry) Applied Mathematics General Mathematics Weak solution 010102 general mathematics Mathematical analysis Mathematics::Analysis of PDEs Hölder condition Parabolic cylinder function 01 natural sciences 010101 applied mathematics Matrix (mathematics) Neumann boundary condition Cylinder 0101 mathematics Mathematics |
| Zdroj: | Journal of Mathematical Sciences. 232:232-253 |
| ISSN: | 1573-8795 1072-3374 |
| DOI: | 10.1007/s10958-018-3871-4 |
| Popis: | We consider a quasilinear parabolic system of equations with nondiagonal principal matrix in a model parabolic cylinder with the Neumann condition on the plane part Γ of the lateral surface of the cylinder. We prove the partial regularity (the Holder continuity) of the weak solution in a neighborhood of Γ by the method of A(t)-caloric approximations adapted to the problem with the Neumann boundary condition. |
| Databáze: | OpenAIRE |
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