On the Third Boundary-Value Problem for an Improperly Elliptic Equation in a Disk

Authors

  • V. P. Burskii

Abstract

We study the problem of solvability of the inhomogeneous third boundary-value problem in a bounded domain for a scalar improperly elliptic differential equation with complex coefficients and homogeneous symbol. It is shown that this problem has a unique solution in the Sobolev space over the circle for special classes of boundary data from the spaces of functions with exponentially decreasing Fourier coefficients.

Published

25.02.2014

Issue

Section

Short communications

How to Cite

Burskii, V. P. “On the Third Boundary-Value Problem for an Improperly Elliptic Equation in a Disk”. Ukrains’kyi Matematychnyi Zhurnal, vol. 66, no. 2, Feb. 2014, pp. 279–283, https://umj.imath.kiev.ua/index.php/umj/article/view/2130.