Email this article A General Integral of a Quasilinear Equation and Application to a Nonlinear Characteristic Problem
- Authors: Baghaturia G.G.1, Menteshashvili M.Z.1
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Affiliations:
- Niko Muskhelishvili Institute of Computational Mathematics
- Issue: Vol 60, No 6 (2019)
- Pages: 940-951
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/172703
- DOI: https://doi.org/10.1134/S0037446619060028
- ID: 172703
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Abstract
We describe a method for constructing general integrals for some nonstrictly hyperbolic quasilinear equations and prove a nonlinear analog of Asgeirsson’s mean value theorem. Using a general integral, we study the nonlinear version of the Goursat characteristic problem.
About the authors
G. G. Baghaturia
Niko Muskhelishvili Institute of Computational Mathematics
Author for correspondence.
Email: nogela@gmail.com
Georgia, Tbilisi
M. Z. Menteshashvili
Niko Muskhelishvili Institute of Computational Mathematics
Author for correspondence.
Email: marimen1963@gmail.com
Georgia, Tbilisi
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