6533b861fe1ef96bd12c5876
RESEARCH PRODUCT
Variational parabolic capacity
Tuomo KuusiBenny AvelinMikko Parviainensubject
p-parabolic equationcapacityApplied Mathematicsta111Mathematical analysisDegenerate energy levelsMathematics::Analysis of PDEsContext (language use)Parabolic cylinder functionType (model theory)Parabolic partial differential equationHeat capacityNonlinear systemdegenerate parabolic equationsnonlinear potential theoryDiscrete Mathematics and CombinatoricsAnalysisComputer Science::Information TheoryMathematicsdescription
We establish a variational parabolic capacity in a context of degenerate parabolic equations of $p$-Laplace type, and show that this capacity is equivalent to the nonlinear parabolic capacity. As an application, we estimate the capacities of several explicit sets.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-05-01 | Discrete and Continuous Dynamical Systems |