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

N. V. Krylov

doi:10.1007/s10958-009-9428-9

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

N. V. Krylov

School of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We consider uniformly elliptic and parabolic second-order equations with bounded zerothorder and bounded VMO leading coefficients and possibly growing first-order coefficients. We look for solutions which are summable to the pth power with respect to the usual Lebesgue measure along with their first and second-order derivatives with respect to the spatial variable. Bibliography: 12 titles.

Original language	English (US)
Pages (from-to)	75-90
Number of pages	16
Journal	Journal of Mathematical Sciences (United States)
Volume	159
Issue number	1
DOIs	https://doi.org/10.1007/s10958-009-9428-9
State	Published - May 2009

Bibliographical note

Funding Information:
Acknowledgments. This work was partially supported by NSF (grant No.

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10.1007/s10958-009-9428-9

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abstract = "We consider uniformly elliptic and parabolic second-order equations with bounded zerothorder and bounded VMO leading coefficients and possibly growing first-order coefficients. We look for solutions which are summable to the pth power with respect to the usual Lebesgue measure along with their first and second-order derivatives with respect to the spatial variable. Bibliography: 12 titles.",

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AB - We consider uniformly elliptic and parabolic second-order equations with bounded zerothorder and bounded VMO leading coefficients and possibly growing first-order coefficients. We look for solutions which are summable to the pth power with respect to the usual Lebesgue measure along with their first and second-order derivatives with respect to the spatial variable. Bibliography: 12 titles.

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

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