N. Filonov, “On the regularity of solutions to the equation <nobr>$-\Delta u+b\cdot\nabla u=0$</nobr>”, Zap. Nauchn. Sem. POMI, 2013, Volume 410,Pages <nobr>168

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On the regularity of solutions to the equation $-\Delta u+b\cdot\nabla u=0$

N. Filonov^ab

^a St. Petersburg Department of Steklov Mathematical Institute, 27 Fontanka, 191023 St. Petersburg
^b St. Petersburg State University, Physics Faculty

Abstract: The equation $-\Delta u+b\cdot\nabla u=0$ is considered. The dependence of the local regularity of a solution $u$ on the properties of the coefficient $b$ is investigated.

Key words and phrases: elliptic equations, regularity of solutions.

UDC: 517

Received: 18.12.2012

Language: English