Email this article Eigenfunctions of the Tricomi problem with an inclined type change line
- Authors: Moiseev E.I.1, Likhomanenko T.N.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 52, No 10 (2016)
- Pages: 1323-1330
- Section: Partial Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154115
- DOI: https://doi.org/10.1134/S0012266116100086
- ID: 154115
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Abstract
We construct the eigenfunctions of the Tricomi problem for the case in which the type change line of the elliptic-hyperbolic equation is inclined and forms an arbitrary angle α with the x-axis. These eigenfunctions form a basis in the elliptic domain. In addition, we find an integral constraint on the inclined type change line.
About the authors
E. I. Moiseev
Lomonosov Moscow State University
Author for correspondence.
Email: dean@cs.msu.ru
Russian Federation, Moscow
T. N. Likhomanenko
Lomonosov Moscow State University
Email: dean@cs.msu.ru
Russian Federation, Moscow
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