Riemann problem and singular integral equations with coefficients generated by piecewise constant functions |
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Authors: | A A Karelin G Pérez Lechuga A A Tarasenko |
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Institution: | 1. Universidad Autónoma del Estado de Hidalgo, Pachuca Hidalgo, México
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Abstract: | We study a Riemann boundary value problem with a shift into the interior of the domain. The problem has piecewise constant coefficients that take two values. We find conditions for the existence and uniqueness of a solution of the inhomogeneous problem and formulas for the number of linearly independent solutions of the homogeneous problem. We consider scalar singular integral operators with a shift and matrix characteristic operators whose coefficients are generated by piecewise constant functions and which have automorphic properties. For these operators, we find invertibility conditions. |
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