Results 131 to 140 of about 2,630 (160)

Parabolic equations with VMO coefficients in generalized Morrey spaces

Acta Mathematica Sinica, English Series, 2010
The authors consider solvability of the oblique derivative problem for linear uniformly parabolic operators with VMO coefficients in some kind of Morrey spaces.
Jiang Zhou
exaly   +2 more sources

Riesz transforms and elliptic PDEs with VMO coefficients

Journal d'Analyse Mathématique, 1998
Let \(A:\Omega\to \mathbb{R}^{n^2}\) be a measurable matrix function in an open set \(\Omega\subset \mathbb{R}^n\). The authors are concerned with the \(A\)-harmonic operator \(\text{\textsterling} u:= \text{div}(A\nabla u)\) acting on the Sobolev space \(W^{1,p}_0(\Omega)\). It is assumed that \textsterling{} is uniformly elliptic and that the entries
T. IWANIEC, SBORDONE, CARLO
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Quaternionic Beltrami Equations with VMO Coefficients

The Journal of Geometric Analysis, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Anisotropic elliptic equations with VMO coefficients

Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Optimal regular differential operators with VMO coefficients

AIP Conference Proceedings, 2012
This paper presents the study of maximal regularity properties for elliptic differential-operator equations with VMO coefficients. We prove that the corresponding elliptic operator is separable, positive and is a generator of an analytic semigroup in vector-valued Lp spaces.
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Weighted solution of the Dirac Beltrami equation with coefficient in VMO

Complex Variables and Elliptic Equations, 2016
We study the generalized Beltrami equation , where is the left Dirac operator in acting on functions in and with values in the complex Clifford algebra , is its conjugate, and is a -valued function with compact support, with vanishing mean oscillation, satisfying , where are the coordinates of in . Let be a weight function in . We prove that if belongs
Victor Cruz, Emilio Marmolejo-Olea, Salvador Pérez-Esteva   +2 more
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On fully nonlinear elliptic and parabolic equations with VMO coefficients in domains

St. Petersburg Mathematical Journal, 2012
The paper is devoted to fully nonlinear elliptic and parabolic equations with vanishing mean oscillation coefficients in bounded domains or cylinders. The systems under consideration particularly cover parabolic Bellman's equations. The solvability in the Sobolev spaces of the terminal-boundary value problem is proved. The solvability in \(W^{1,2}_p\),
Dong, Hongjie, Krylov, N. V., Li, Xu
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Oblique derivative problem for parabolic operators with VMO coefficients

manuscripta mathematica, 2000
The paper deals with the regular oblique derivative problem \[ \left\{ \begin{aligned} u_t-\sum_{i,j=1}^n a_{ij}(x,t) D_{ij}u=f(x,t)\quad &\text{ a.e. in} Q_T,\\ u(x,0)=\varphi(x) &\quad \text{on} \Omega,\\ \sum_{i=1}^n \ell_i(x,t)D_i u=\psi(x,t)\quad &\text{on} S_T,\end{aligned}\right.\tag \(*\) \] where \(Q_T\) is a cylinder in \({\mathbb R}^n\times {
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Uniqueness results for elliptic equations with VMO-coefficients

2004
In this paper we prove some uniqueness results for the Dirichlet problem for linear elliptic equations with locally VMO coefficients in unbounded domains.
CASO, Loredana, CAVALIERE, Paola, TRANSIRICO, Maria   +2 more
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Quasilinear parabolic equations with VMO coefficients

2000
This paper deals with the Cauchy-Dirichlet problem and with the regular oblique derivative problem for quasilinear parabolic operators with discontinuous coefficients. To be more precise, the coefficients belong to the VMO class and the right hand side has a quadratic growth with respect to the gradient.
openaire   +3 more sources