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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) =
openaire   +1 more source

A Liouville-type theorem for higher order elliptic systems

Journal of Mathematical Analysis and Applications, 2012
Xiaodong Yan
exaly  

The Kato square root problem for higher order elliptic operators and systems on $ \Bbb R^n $

Journal of Evolution Equations, 2001
Steve Hofmann   +2 more
exaly  

Higher differentiability for the solutions of nonlinear elliptic systems with lower-order terms and L 1,θ -data

Annali Di Matematica Pura Ed Applicata, 2012
Salvatore Leonardi   +2 more
exaly  

The essential spectrum of elliptic systems of mixed order

Mathematische Annalen, 1977
Gerd Grubb   +2 more
exaly  

Robust multilevel preconditioners for second order elliptic equations and systems of equations

Summary: Preconditioners based on various multilevel extensions of two-level finite element methods lead to iterative methods which have an optimal order computational complexity with respect to the size (or discretization parameter) of the system. The methods can be on block matrix factorized form, recursively extended via certain matrix polynomial ...
Axelsson, O.   +2 more
openaire   +2 more sources

Fundamental solutions of a class of first-order linear elliptic systems

Complex Variables and Elliptic Equations, 2013
Doan Cong Dinh
exaly  

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