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

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

2009-02-17

arxiv.org/abs/0902.3006v3

Mathematics

Analysis of PDEs

15 pages, a few references added along with discussion of them. Assumption 3.1 (ii) changed and is now somewhat stronger

Scientific paper

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.

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