Variational parabolic capacity

Benny  Avelin; Tuomo  Kuusi; Mikko Parviainen

doi:10.3934/dcds.2015.35.5665

Article Contents

2015, Volume 35, Issue 12: 5665-5688. Doi: 10.3934/dcds.2015.35.5665

This issue Previous Article Density estimates for vector minimizers and applications Next Article On the classical limit of the Schrödinger equation

Variational parabolic capacity

1.
Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35, 40014 Jyväskylä
2.
Department of Mathematics and Systems Analysis, Aalto University School of Science, FI-00076 Aalto
3.
Department of Mathematics and Statistics, P.O. Box 35, FI-40014 University of Jyväskylä

Received: March 31, 2014

Published: November 2015

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Abstract

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.

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Mathematics Subject Classification: Primary: 35K55; Secondary: 31C45.

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References

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