A General Integral of a Quasilinear Equation and Application to a Nonlinear Characteristic Problem

A General Integral of a Quasilinear Equation and Application to a Nonlinear Characteristic Problem

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.

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Veröffentlicht in:Siberian mathematical journal 2019-11, Vol.60 (6), p.940-951
Hauptverfasser: Baghaturia, G. G., Menteshashvili, M. Z.
Format: Artikel
Sprache:eng
Schlagworte:
Differential calculus
Integrals
Mathematics
Mathematics and Statistics
Nonlinear equations
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Beschreibung
Zusammenfassung: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.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446619060028