activity
20052023
most citedElliptic differential equations with measurable coefficients

4 citations · 8 across the 15 of their papers we have counts for

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7 papers · 1 filter

math.AP2023★ 2 cited

On parabolic equations in Morrey spaces with VMO and Morrey

N. V. Krylov

We prove existence and uniqueness of solutions in Morrey spaces of functions with mixed norms for second-oder parabolic equations in the whole space with VMO and Morrey .

math.AP2022★ 1 cited

Elliptic equations in Sobolev spaces with Morrey drift and the zeroth-order coefficients

N. V. Krylov

We consider elliptic equations with operators with being almost in VMO, in a Morrey class containing , and in a Morrey class…

math.AP2021

On parabolic Adams's theorem and some other results related to parabolic Morrey spaces

N. V. Krylov

We present several results of embedding type for parabolic Morrey spaces with or without mixed norms. Some other interpolation results for parabolic Morrey spaces are also given.

math.AP2021★ 1 cited

Linear and fully nonlinear elliptic equations with Morrey drift

N. V. Krylov

We present some results concerning the solvability of linear elliptic equations in bounded domains with the main coefficients almost in VMO, the drift and the free terms in Morrey…

math.AP2015

On parabolic equations in one space dimension

N. V. Krylov

Several negative results are presented concerning the solvability in Sobolev classes of the Cauchy problem for the inhomogeneous second-order uniformly parabolic equations without…

math.AP2009

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

N. V. Krylov

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…