Spatial problem of Darboux type for one model equation of third order |
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Authors: | O. Jokhadze |
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Affiliation: | (1) A. Razmadze Mathematical Institute, Georgian Academy of Siences, 1, M. Alexidze St., 380093 Tbilisi, Republic of Georgia |
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Abstract: | For a hyperbolic type model equation of third order a Darboux type problem is investigated in a dihedral angle. It is shown that there exists a real number 0 such that for > 0 the problem under consideration is uniquelly solvable in the Frechet space. In the case where the coefficients are constants, Bochner's method is developed in multidimensional domains, and used to prove the uniquely solvability of the problem both in Frechet and in Banach spaces. |
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Keywords: | 35L35 |
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