Unique solvability of the Dirichlet problem for an ultrahyperbolic equation in a ball |
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| Authors: | V. P. Burskii E. V. Kirichenko |
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| Affiliation: | (1) Institute of Mathematics and Computer Science, Wrocław University of Technology, ul. Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland; |
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| Abstract: | We obtain a criterion in terms of zeros of Jacobi polynomials for the uniqueness of the solution of the first boundary value problem for an ultrahyperbolic equation in a ball. The nonuniqueness in the Dirichlet problem proves to occur if and only if the coefficient of the equation belongs to a countable dense subset of the real line. |
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