Regularity of a boundary point for degenerate parabolic equations with measurable coefficients (Q2730517)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Regularity of a boundary point for degenerate parabolic equations with measurable coefficients |
scientific article; zbMATH DE number 1631388
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity of a boundary point for degenerate parabolic equations with measurable coefficients |
scientific article; zbMATH DE number 1631388 |
Statements
8 August 2001
0 references
\(p\)-Laplacian
0 references
quasilinear parabolic equation
0 references
regular point on the boundary
0 references
nonsmooth boundary
0 references
regularity condition in terms of \(C_p\)-capacity
0 references
estimate of the continuity modulus
0 references
0 references
0.94834876
0 references
0.9373119
0 references
0.93261415
0 references
Regularity of a boundary point for degenerate parabolic equations with measurable coefficients (English)
0 references
The author studies the continuity of solutions of quasilinear parabolic equations at the nonsmooth boundary of a cylindrical domain. Under certain assumptions a regularity condition in terms of \(C_p\)-capacity for a point on the boundary is obtained. This condition coincides with the regularity condition for the \(p\)-Laplacian. An estimate of the continuity modulus of a solution is also found.
0 references
