# American Institute of Mathematical Sciences

December  2015, 35(12): 5665-5688. doi: 10.3934/dcds.2015.35.5665

## Variational parabolic capacity

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

Received  April 2014 Published  May 2015

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.
Citation: Benny Avelin, Tuomo Kuusi, Mikko Parviainen. Variational parabolic capacity. Discrete & Continuous Dynamical Systems - A, 2015, 35 (12) : 5665-5688. doi: 10.3934/dcds.2015.35.5665
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