Classical solution of the Cauchy problem for a quasi-linear wave equation with discontinuous initial conditions

MaRDI QIDQ6642712

J. V. Rudzko, V. I. Korzyuk

Publication date: 25 November 2024

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

zbMATH Keywords

Cauchy problemnonlinear wave equationmethod of characteristicsclassical solutiondiscontinuous initial conditions

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) PDEs with low regular coefficients and/or low regular data (35R05) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Physical problems with discontinuous initial conditions.
• Classical solution of the initial-value problem for a one-dimensional quasilinear wave equation
• Goursat's problem on the plane for a quasilinear hyperbolic equation
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Related Items (2)

Classical solution to the Cauchy problem for a semilinear hyperbolic equation in the case of two independent variables ⋮ Classical and mild solutions of the Cauchy problem for a mildly quasilinear wave equation with discontinuous and distributional initial conditions

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