Goursat's problem on the plane for a quasilinear hyperbolic equation

MaRDI QIDQ6642730

Ol'ga Anatol'evna Kovnatskaya, V. I. Korzyuk, Vladimir Aleksandrovich Sevastyuk

Publication date: 25 November 2024

Published in: Doklady Natsional'noĭ Akademii Nauk Belarusi (Search for Journal in Brave)

zbMATH Keywords

matching conditionsclassical solutionquasilinear equationmethod of successive approximationsGoursat's problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order semilinear hyperbolic equations (35L71) Classical solutions to PDEs (35A09)

Cites Work

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• Classical solution of the first mixed problem for second-order hyperbolic equation in curvilinear half-strip with variable coefficients
• К методу Римана решения одной смешанной задачи

Related Items (2)

Classical solution of the Cauchy problem for a quasi-linear wave equation with discontinuous initial conditions ⋮ Classical and mild solutions of the Cauchy problem for a mildly quasilinear wave equation with discontinuous and distributional initial conditions

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