Conjugate Problem for a Third Order Equation with Multiple Characteristics and a Positive Function at the Higher Order Derivative
- Autores: Kozhanov A.I.1,2, Potapova S.V.3
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Afiliações:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- Research Institute of Mathematics, M. K. Ammosov North-Eastern Federal University
- Edição: Volume 215, Nº 4 (2016)
- Páginas: 510-516
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/237636
- DOI: https://doi.org/10.1007/s10958-016-2855-5
- ID: 237636
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Resumo
We establish the existence and uniqueness of a regular solution to the conjugate (generalized diffraction) problem for the equation ut − h(x)uxxx + c(x, t)u = f(x, t), where h(x) is positive and can have discontinuity of the first kind at the point x = 0.
Sobre autores
A. Kozhanov
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
Autor responsável pela correspondência
Email: kozhanov@math.nsc.ru
Rússia, 4, pr. Akad., Koptyuga, Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090
S. Potapova
Research Institute of Mathematics, M. K. Ammosov North-Eastern Federal University
Email: kozhanov@math.nsc.ru
Rússia, 48, ul. Kulakovskogo, Yakutsk, 677016
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