On the regularity of solutions to the equation $-\Delta u+b\cdot\nabla u=0$
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 43, Tome 410 (2013), pp. 168-186
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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.
@article{ZNSL_2013_410_a6,
author = {N. Filonov},
title = {On the regularity of solutions to the equation $-\Delta u+b\cdot\nabla u=0$},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {168--186},
publisher = {mathdoc},
volume = {410},
year = {2013},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2013_410_a6/}
}
N. Filonov. On the regularity of solutions to the equation $-\Delta u+b\cdot\nabla u=0$. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 43, Tome 410 (2013), pp. 168-186. http://geodesic.mathdoc.fr/item/ZNSL_2013_410_a6/