arXiv subjects

Victor Kalvin

Publications and source records attributed to Victor Kalvin.

20 records · Page 2Linked to original sources

arXiv2009

Weighted Hardy-Sobolev spaces and complex scaling of differential equations with operator coefficients

In this paper we study weighted Hardy-Sobolev spaces of vector valued functions analytic on double-napped cones of the complex plane. We introduce these spaces as a tool for complex scaling of linear ordinary differential equations with dilation analytic unbounded operator coefficients. As examples we consider boundary value problems in cylindrical domains and domains with quasicylindrical ends.

math.AP↗

arXiv2008

Perfectly matched layers for the stationary Schrodinger equation in a periodic structure

We construct a perfectly matched absorbing layer for stationary Schrodinger equation with analytic slowly decaying potential in a periodic structure. We prove the unique solvability of the problem with perfectly matched layer of finite length and show that solution to this problem approximates a solution to the original problem with an error that exponentially tends to zero as the length of perfectly matched layer tends to infinity.

math-ph↗