The Harnack inequality and related properties for solutions to elliptic and parabolic equations with divergence-free lower-order coefficients
We discuss the problem how "bad" may be lower-order coefficients in elliptic and parabolic second order equations to ensure some qualitative properties of solution such as strong maximum principle, Harnack's inequality, Liouville's theorem. The answers are given in terms of the L...
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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
08.11.2010
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Subjects | |
Online Access | Get full text |
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Summary: | We discuss the problem how "bad" may be lower-order coefficients in elliptic
and parabolic second order equations to ensure some qualitative properties of
solution such as strong maximum principle, Harnack's inequality, Liouville's
theorem. The answers are given in terms of the Lebesgue spaces and the Morrey
spaces. |
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DOI: | 10.48550/arxiv.1011.1888 |