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Morrey estimates and Hölder continuity for solutions to parabolic equations with entropy inequalities
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Jens Frehse
Published/Copyright:
November 23, 2009
Abstract
We consider parabolic systems 
, where the coefficient functions possess a potential and linear growth in ∇u. Assuming a coerciveness and natural entropy condition, but no monotonicity condition, we prove a Morrey estimate for ∇u which implies Cα-regularity in the case of two dimensions.
Received: 2008-01-25
Revised: 2008-07-31
Published Online: 2009-11-23
Published in Print: 2010-January
© Walter de Gruyter Berlin · New York 2010
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- On Katz's bound for the number of elements with given trace and norm
- Free evolution on algebras with two states
- Decomposition of residue currents
- Free holomorphic automorphisms of the unit ball of B(ℋ)n
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- Surgery formula for Seiberg–Witten invariants of negative definite plumbed 3-manifolds
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Articles in the same Issue
- Waring's problem in function fields
- On Katz's bound for the number of elements with given trace and norm
- Free evolution on algebras with two states
- Decomposition of residue currents
- Free holomorphic automorphisms of the unit ball of B(ℋ)n
- Morrey estimates and Hölder continuity for solutions to parabolic equations with entropy inequalities
- Surgery formula for Seiberg–Witten invariants of negative definite plumbed 3-manifolds
- Mld's vs thresholds and flips
