Diffraction on a Cone: the Asymptotics of Solutions near the Vertex
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AbstractThe paper is concerned with the mixed problem for the wave equation in a cone
$$K \subset \mathbb{R}^n $$
. Asymptotic formulas for solutions and for the Green's function in a neighborhood of the vertex are obtained. Properties of the asymptotic coefficients related to a finite speed of propagation of disturbances are analyzed. Bibliography: 16 titles.
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