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.
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Russian Text © The Author(s), 2019, published in Sibirskii Matematicheskii Zhurnal, 2019, Vol. 60, No. 6, pp. 1209–1222.
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Baghaturia, G.G., Menteshashvili, M.Z. A General Integral of a Quasilinear Equation and Application to a Nonlinear Characteristic Problem. Sib Math J 60, 940–951 (2019). https://doi.org/10.1134/S0037446619060028
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DOI: https://doi.org/10.1134/S0037446619060028