A conservative finite difference scheme for static diffusion equation.
A note on the solvability of homogeneous Riemann boundary problem with infinity index
In this note we establish a necessary and sufficient condition for solvability of the homogeneous Riemann boundary problem with infinity index on a rectifiable open curve. The index of the problem we deal with considers the influence of the requirement of the solutions of the problem, the degree of non-smoothness of the curve at the endpoints as well as the behavior of the coefficient at these points.
A problem of linear conjugation for analytic functions with boundary values from the Zygmund class.
A Riemann–Hilbert problem and the Bernoulli boundary condition in the variational theory of Stokes waves
A Riemann-Hilbert problem with a vanishing coefficient and applications to Toeplitz operators
We study the homogeneous Riemann-Hilbert problem with a vanishing scalar-valued continuous coefficient. We characterize non-existence of nontrivial solutions in the case where the coefficient has its values along several rays starting from the origin. As a consequence, some results on injectivity and existence of eigenvalues of Toeplitz operators in Hardy spaces are obtained.
A survey on geometric properties of holomorphic self-maps in some domains of ℂⁿ
In this survey we give geometric interpretations of some standard results on boundary behaviour of holomorphic self-maps in the unit disc of ℂ and generalize them to holomorphic self-maps of some particular domains of ℂⁿ.
A system of exponential functions with shift and the Kostyuchenko problem.
An initial and boundary value problem for nonlinear composite type systems of three equations.
Anwendung der Theorie der Integralgleichungen auf einige Randwertaufgaben der Funktionentheorie
Asymptotic maximum principle.