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4. A Strong Regularity Result for Parabolic Equations.

Author

Zhang, Qi S.

Subjects
EQUATIONS, MATHEMATICAL analysis, CONTINUITY, NUMERICAL analysis, ASYMPTOTIC expansions, MATHEMATICS
Abstract

We consider a parabolic equation with a drift term Δu+b∇u-ut=0. Under the condition divb=0, we prove that solutions possess dramatically better regularity than those provided by standard theory. For example, we prove continuity of solutions when not even boundedness is expected. [ABSTRACT FROM AUTHOR]

Published
2004
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