Eigenfunctions of the Gellerstedt problem with an inclined-type change lineстатья
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Аннотация:The Gellerstedt problem is considered for the elliptic–hyperbolic equation with a spectral parameter. There are two inclined-type change lines which form different arbitrary angles
α1 and π−α2 with the x-axis. The eigenfunctions of this problem are constructed and the corresponding eigenvalues are found. The system of these eigenfunctions is proved to form a Riesz basis in the elliptic domain.
KEYWORDS: Inclined-type change line, Gellerstedt problem, eigenfunctions, Riesz basis, Bessel function, Laplace transform
AMS Subject Classification: 35M12, 35P10, 35C10, 33C10