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

Сибирский математический журнал

article

G. G. Baghaturia¹  M. Z. Menteshashvili¹ 

[1] Niko Muskhelishvili Institute of Computational Mathematics, Georgian Technical University

关键词: quasilinear hyperbolic equation;    parabolic degeneration;    characteristic;    general integral;    Asgeirsson theorem;    Goursat problem;   

DOI  :  10.1134/S0037446619060028

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

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.

【 授权许可】

CC BY