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arXiv:0902.3006 [math.AP]AbstractReferencesReviewsResources

On linear elliptic and parabolic equations with growing drift in Sobolev spaces without weights

N. V. Krylov

Published 2009-02-17, updated 2009-03-20Version 3

We consider uniformly elliptic and parabolic second-order equations with bounded zeroth-order and bounded VMO leading coefficients and possibly growing first-order coefficients. We look for solutions which are summable to the $p$-th power with respect to the usual Lebesgue measure along with their first and second-order derivatives with respect to the spatial variable.

Comments: 15 pages, a few references added along with discussion of them. Assumption 3.1 (ii) changed and is now somewhat stronger
Categories: math.AP
Subjects: 35K10, 35J15
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