On the Third Boundary-Value Problem for an Improperly Elliptic Equation in a Disk
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.
English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 2, pp 311-316.
Citation Example: Burskii V. P. On the Third Boundary-Value Problem for an Improperly Elliptic Equation in a Disk // Ukr. Mat. Zh. - 2014. - 66, № 2. - pp. 279–283.