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A Strong Regularity Result for Parabolic Equations.
- Source :
- Communications in Mathematical Physics; Jan2004, Vol. 244 Issue 2, p245-260, 16p
- Publication Year :
- 2004
-
Abstract
- We consider a parabolic equation with a drift term Δu+b∇u-u<subscript>t</subscript>=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]
Details
- Language :
- English
- ISSN :
- 00103616
- Volume :
- 244
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Communications in Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 16794140
- Full Text :
- https://doi.org/10.1007/s00220-003-0974-6