2014
DOI: 10.1007/s11253-014-0931-x
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On the Third Boundary-Value Problem for an Improperly Elliptic Equation in a Disk

Abstract: 517.95We 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.The boundary-value problems for improperly elliptic equations in bounded domains are studied… Show more

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