Classical solution of the initial-value problem for a one-dimensional quasilinear wave equation

MaRDI QIDQ6642709

V. I. Korzyuk, J. V. Rudzko

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 solutionfixed-point principle

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) 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 the Klein-Gordon-Fock equation in a half-strip
• Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
• Existence of global solutions to nonlinear massless Dirac system and wave equation with small data
• On the existence of weak solutions to the Cauchy problem for a class of quasilinear hyperbolic equations with a source term
• Classical solution of the first mixed problem for the telegraph equation with a nonlinear potential
• Classical solution of the first mixed problem for second-order hyperbolic equation in curvilinear half-strip with variable coefficients
• The Cauchy problem for the nonlinear damped wave equation with slowly decaying data
• Fixed points and stability for a sum of two operators in locally convex spaces
• Initial value problems for nonlinear wave equations
• Global existence and asymptotic behavior of solutions for nonlinear wave equations
• On the global existence of small data classical solutions to a semilinear wave equation with a time‐dependent damping
• Nonlinear Wave Equations
• Periodic solutions of a nonlinear telegraph equation
• Nonlinear Hyperbolic Differential Equations for Functions of Two Independent Variables

Related Items (4)

Problem of longitudinal vibrations of a Maxwell-type viscoelastic rod ⋮ Classical solution to the Cauchy problem for a semilinear hyperbolic equation in the case of two independent variables ⋮ 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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