Results 131 to 140 of about 300 (152)

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.
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\(L^p\) estimates for nonvariational hypoelliptic operators with \(VMO\) coefficients

2000
The authors consider differential operators of the type: \[ L=\sum^q_{i=1}a_{ij}(x)X_iX_j, \] where the real-valued coefficients \(a_{ij}\in L^\infty\), the real smooth vector fields \(X_i\), \(1\leq i\leq q\) satisfy Hörmander's condition for hypoellipticicy and \(L\) is uniformly elliptic.
BRAMANTI, MARCO, L. Brandolini
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The Dirichlet Problem for Elliptic Equations with VMO Coefficients in Generalized Morrey Spaces

2013
We consider the Dirichlet problem in a bounded smooth domain \( \Omega \subset \mathbb{R}^{n} \) for linear uniformly elliptic equation \( \mathfrak{L}u(x)=f(x) \) with VMO principal coefficients. Its unique strong solvability is proved in [5] and [6]. Our aim is to show that for every f belonging to the generalized Morrey space \( L^{p,\omega}(\Omega),
openaire   +1 more source

Equations with VMO coefficients

2008
openaire   +1 more source

Second-order elliptic equations with variably partially VMO coefficients

Journal of Functional Analysis, 2009
N V Krylov
exaly  

Regularity up to the boundary for the gradient of solutions of linear elliptic systems withVMO-coefficients andL1,λdata

Complex Variables and Elliptic Equations, 2011
Jana Stara, Salvatore Leonardi
exaly  

L∞-estimates for parabolic systems with VMO-coefficients

2010
Heck, Horst, Hieber, Matthias, Stavrakidis, Kyriakos   +2 more
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Regularity in Morrey Spaces of Strong Solutions to Nondivergence Elliptic Equations with VMO Coefficients

Georgian Mathematical Journal, 1998
Shanzhen Lu, Dashan Fan
exaly  

The Fredholm alternative for second-order linear elliptic systems with \(VMO\) coefficients

2015
Summary: The family of second-order linear elliptic operators on the complex plane forms an open set in \(\mathbb{C}^6\) with exactly six components. Let \(E(\Delta)\) denote the component consisting of operators that are deformable to the Laplacian. The objective of this paper is the establishment of the Fredholm alternative for the equation \[ SW(z) =
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Partial regularity for subquadratic homogeneity elliptic system with VMO-coefficients

Journal of Mathematical Analysis and Applications, 2017
Zhong Tan
exaly