Research output: Contribution to journal › Article › peer-review
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 Hölder 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.
Original language | English |
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Pages (from-to) | 232-253 |
Number of pages | 22 |
Journal | Journal of Mathematical Sciences (United States) |
Volume | 232 |
Issue number | 3 |
Early online date | 2 Jun 2018 |
DOIs | |
State | Published - Jul 2018 |
ID: 28233353