Results 61 to 70 of about 444 (158)

Morrey regularity of strong solutions to parabolic equations with VMO coefficients

, 2001
We consider a regular oblique derivative problem for a linear parabolic operator P with VMO principal coefficients. Its unique strong solvability is proved in [15], when Pu epsilon L-p(Q(T)).
SOFTOVA PALACHEVA, Lyoubomira, SOFTOVA PALAGACHEVA, Lyoubomira   +1 more
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A mostly elementary proof of Morrey space estimates for elliptic and parabolic equations with VMO coefficients

, 2003
In recent years, there has been considerable interest in extending the well-known Calderon–Zygmund estimates for the Laplacian to more general equations, in particular equations with highest order coefficients lying in the Sarason space VMO. In addition,
Gary M. Lieberman, Lieberman, Gary M.
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On L-P-estimates of optimal type for the parabolic oblique derivative problem with VMO-coefficients - A refined version

, 2022
S.529-536We prove W-p(2,1)(Omega(T))-estimates (1 < p < infinity) for parabolic operators with a second-order elliptic part in non-divergence form with essentially bounded VMO-coefficients.
Weidemaier, P.
core  

Resolvent approaches to elliptic regularity in stationary Fokker–Planck equations

Demonstratio Mathematica
This paper investigates the local regularity of solutions to stationary Fokker–Planck equations on an open set U⊂Rd $U\subset {\mathbb{R}}^{d}$ with d ≥ 2.
Lee Haesung
doaj   +1 more source

Global regularity in Orlicz-Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients

Electronic Journal of Differential Equations, 2018
We show continuity in generalized Orlicz-Morrey spaces $M_{\Phi,\varphi}(\mathbb{R}^n)$ of sublinear integral operators generated by Calderon-Zygmund operator and their commutators with BMO functions.
Vagif S. Guliyev, Aysel A. Ahmadli, Mehriban N. Omarova, Lubomira G. Softova   +3 more
doaj  

On fully nonlinear elliptic and parabolic equations in domains with VMO coefficients

, 2013
University Of Minnesota Ph.D. dissertation. April 2013. Major: Mathematics. Advisor: Nicolai Vladimi Krylov. 1 computer file (PDF); iv, 47 pages.We prove the solvability in Sobolev spaces Wp^(1,2), p>d+1, of the terminal-boundary value problem for a ...
Li, Xu
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Partial regularity for elliptic systems with VMO-coefficients

, 2013
We establish partial regularity for vector-valued solutions to inhomogeneous elliptic systems in divergence form where the coefficients are possibly discontinuous with respect to $x$. More precisely, we assume a VMO-condition with respect to the $x$ and continuity with respect to $u$ and prove Hölder continuity of the solutions outside of singular sets.
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Oblique derivative problem for elliptic equations in non-divergence form with VMO coefficients

, 1996
A priori estimates and strong solvability results in Sobolev space W2,p(Ω), 1 < p < ∞ are proved for the regular oblique derivative problem when the principal coefficients aij are VMO ∩ L ...
Palagachev, D. K., Di Fazio, G.
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On divergence form SPDEs with VMO coefficients in a half space

Stochastic Processes and their Applications, 2009
We extend several known results on solvability in the Sobolev spaces $W^{1}_{p}$, $p\in[2,\infty)$, of SPDEs in divergence form in $\bR^{d}_{+}$ to equations having coefficients which are discontinuous in the space variable.
openaire   +2 more sources

Orlicz Regularity for Non-Divergence Parabolic Systems with Partially Vmo Coefficients

, 2015
This work treats the interior Orlicz regularity for strong solutions of a class of non-divergence parabolic systems with coefficients just measurable in time and VMO in the spatial ...
Niu, Pengcheng, Feng, Xiaojing, Zhu, Maochun   +2 more
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