On boundary-value problems for a second-order differential equation with complex coefficients in a plane domain

  • V. P. Burskii

Abstract

We study boundary-value problems for a homogeneous partial differential equation of the second order with arbitrary constant complex coefficients and a homogeneous symbol in a bounded domain with smooth boundary. Necessary and sufficient conditions for the solvability of the Cauchy problem are obtained. These conditions are written in the form of a moment problem on the boundary of the domain and applied to the investigation of boundary-value problems. This moment problem is solved in the case of a disk.
Published
25.11.1996
How to Cite
BurskiiV. P. “On Boundary-Value Problems for a Second-Order Differential Equation With Complex Coefficients in a Plane Domain”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 48, no. 11, Nov. 1996, pp. 1457-6, https://umj.imath.kiev.ua/index.php/umj/article/view/5199.
Section
Research articles