Email this article L2 Solvability of the Tricomi-Neumann Problem for a Parabolic-Hyperbolic Equation with Degenerate Hyperbolic Part
- Authors: Kapustin N.Y.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 55, No 1 (2019)
- Pages: 145-148
- Section: Short Communications
- URL: https://journals.rcsi.science/0012-2661/article/view/154934
- DOI: https://doi.org/10.1134/S0012266119010166
- ID: 154934
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Abstract
We consider the inhomogeneous Tricomi-Neumann problem for a parabolic-hyperbolic equation with noncharacteristic type change line and degenerate hyperbolic part. The auxiliary function method is used to obtain an a priori estimate for the solution. The existence of a classical solution is proved for the case in which the right-hand side of the equation and the boundary functions are smooth. The unique generalized L2 solvability is established for the case of nonsmooth conditions.
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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