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Stability for degenerate parabolic equations

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Published/Copyright: July 22, 2009
Advances in Calculus of Variations
From the journal Volume 3 Issue 1

Abstract

We show that an initial and boundary value problem related to the parabolic p-Laplace equation is stable with respect to p if the complement of the cylindrical domain satisfies a uniform capacity density condition. This condition is essentially optimal for our stability results.

Keywords.: Parabolic p-Laplace operator; global higher integrability; capacity density condition
Received: 2009-01-21
Published Online: 2009-07-22
Published in Print: 2010-March

© de Gruyter 2010

Articles in the same Issue

  1. Boundary continuity of solutions to a basic problem in the calculus of variations
  2. Stability for degenerate parabolic equations
  3. Liouville-type theorems for biharmonic maps between Riemannian manifolds
  4. Intrinsic regular graphs in Heisenberg groups vs. weak solutions of non-linear first-order PDEs
  5. A note on the Wolff potential estimate for solutions to elliptic equations involving measures
https://doi.org/10.1515/acv.2010.002
Keywords for this article
Parabolic p-Laplace operator; global higher integrability; capacity density condition

Articles in the same Issue

  1. Boundary continuity of solutions to a basic problem in the calculus of variations
  2. Stability for degenerate parabolic equations
  3. Liouville-type theorems for biharmonic maps between Riemannian manifolds
  4. Intrinsic regular graphs in Heisenberg groups vs. weak solutions of non-linear first-order PDEs
  5. A note on the Wolff potential estimate for solutions to elliptic equations involving measures
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