most citedOn Dirichlet problem for second-order elliptic equations in the plane and uniform approximation problems for solutions of such equations

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math.CV2021★ 1 cited

On Dirichlet problem for second-order elliptic equations in the plane and uniform approximation problems for solutions of such equations

Astamur Bagapsh, Konstantin Fedorovskiy, Maksim Mazalov

We consider the Dirichlet problem for solutions to general second-order homogeneous elliptic equations with constant complex coefficients. We prove that any Jordan domain with $C^{…

math.AP2021

The perturbation method for the skew-symmetric strongly elliptic systems of PDEs

Astamur Bagapsh

For a Jordan domain with sufficiently smooth boundaries, the solution to the Dirichlet problem for second order skew-symmetric strongly elliptic system with constant coefficients a…