Email this article Conjugate Problem for a Third Order Equation with Multiple Characteristics and a Positive Function at the Higher Order Derivative
- Authors: Kozhanov A.I.1,2, Potapova S.V.3
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Affiliations:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- Research Institute of Mathematics, M. K. Ammosov North-Eastern Federal University
- Issue: Vol 215, No 4 (2016)
- Pages: 510-516
- Section: 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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Abstract
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.
About the authors
A. I. Kozhanov
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
Author for correspondence.
Email: kozhanov@math.nsc.ru
Russian Federation, 4, pr. Akad., Koptyuga, Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090
S. V. Potapova
Research Institute of Mathematics, M. K. Ammosov North-Eastern Federal University
Email: kozhanov@math.nsc.ru
Russian Federation, 48, ul. Kulakovskogo, Yakutsk, 677016
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