期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 244, 期 2, 页码 245-260出版社
SPRINGER-VERLAG
DOI: 10.1007/s00220-003-0974-6
关键词
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We consider a parabolic equation with a drift term Deltau+bdelu-u(t)=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.
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