Email this article On an inhomogeneous Tricomi problem for a parabolic-hyperbolic equation
- Authors: Kapustin N.Y.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 53, No 10 (2017)
- Pages: 1340-1345
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/154593
- DOI: https://doi.org/10.1134/S001226611710010X
- ID: 154593
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Abstract
We consider an inhomogeneous Tricomi problem for a parabolic-hyperbolic equation with noncharacteristic type change line and with Frankl type matching condition for the normal derivatives on the type change line. The auxiliary function method is used to establish an a priori estimate of the solution. The existence of the solution is proved by the spectral method.
About the authors
N. Yu. Kapustin
Lomonosov Moscow State University
Author for correspondence.
Email: n.kapustin@bk.ru
Russian Federation, Moscow, 119991
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