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Higher integrability in parabolic obstacle problems
-
Verena Bögelein
and
Christoph Scheven
Published/Copyright:
September 1, 2012
Abstract.
In this paper we establish the self-improving property of integrability for parabolic variational inequalities satisfying an obstacle constraint and involving possibly degenerate respectively singular operators in divergence form. In particular, our results apply to the model case of the variational inequality associated to the parabolic p-Laplacean operator. Thereby we do not impose any monotonicity assumption in time on the obstacle function.
Keywords: Parabolic obstacle problems; variational inequalities; higher integrability; degenerate/singular parabolic problems
Received: 2010-05-12
Published Online: 2012-09-01
Published in Print: 2012-09-01
© 2012 by Walter de Gruyter Berlin Boston
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- Conjugacy in normal subgroups of hyperbolic groups
- Surgery obstructions on closed manifolds and the inertia subgroup
- Higher integrability in parabolic obstacle problems
- Fundamental solutions for sum of squares of vector fields operators with C1,α coefficients
- Kuykian fields
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Keywords for this article
Parabolic obstacle problems;
variational inequalities;
higher integrability;
degenerate/singular parabolic problems
Articles in the same Issue
- Masthead
- Conjugacy in normal subgroups of hyperbolic groups
- Surgery obstructions on closed manifolds and the inertia subgroup
- Higher integrability in parabolic obstacle problems
- Fundamental solutions for sum of squares of vector fields operators with C1,α coefficients
- Kuykian fields
- Multivariable manifold calculus of functors
- Weighted geometric means
- Kaplansky classes, finite character and ℵ1-projectivity
