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Elliptic and parabolic regularity for second‐ order divergence operators with mixed boundary conditions

Mathematical Methods in the Applied Sciences, 2016
Dorothee Knees
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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First- and Second-Order Optimality Conditions for a Class of Optimal Control Problems with Quasilinear Elliptic Equations

SIAM Journal on Control and Optimization, 2009
Eduardo Casas, Fredi Tröltzsch
exaly

Diffeentiability of solutions for second order elliptic systems

1995
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Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems

SIAM Journal on Numerical Analysis, 2009
Bernardo Cockburn, Raytcho Lazarov
exaly

VII. Second Order Elliptic Systems of Differential Equations

1955
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Elliptic and Parabolic Second-Order PDEs with Growing Coefficients

Communications in Partial Differential Equations, 2009
Nicolai Krylov
exaly

Weighted Lp estimates of solutions to boundary value problems for second order elliptic systems in polyhedral domains

ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik, 2003
exaly