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Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
May 18, 2016 16:00, Moscow, Steklov Mathematical Institute, Room 530 (8 Gubkina)
 


Qualitative properties of solutions of equations with divergence-free lower-order coefficients

A. I. Nazarov
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A. I. Nazarov


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Abstract: 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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