6533b860fe1ef96bd12c30d7
RESEARCH PRODUCT
Boundary regularity for degenerate and singular parabolic equations
Mikko ParviainenUgo GianazzaJana BjörnAnders Björnsubject
Mathematics - Analysis of PDEsSimple (abstract algebra)Applied MathematicsDegenerate energy levelsMathematical analysis35K20 31B25 35B65 35K65 35K67 35K92FOS: MathematicsBoundary (topology)Mathematics::Spectral TheoryParabolic partial differential equationAnalysisMathematicsAnalysis of PDEs (math.AP)description
We characterise regular boundary points of the parabolic $p$-Laplacian in terms of a family of barriers, both when $p>2$ and $1<p<2$. Due to the fact that $p\not=2$, it turns out that one can multiply the $p$-Laplace operator by a positive constant, without affecting the regularity of a boundary point. By constructing suitable families of barriers, we give some simple geometric conditions that ensure the regularity of boundary points.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-01 |