On the nonlinear wave equation \(U_{tt}-B(t,\| U_{x}\|^{2})U_{xx}=f(x,t,U,U_{x},U_{t},\| U_{x}\|^{2})\) associated with the mixed nonhomogeneous conditions

DOI10.1016/j.jmaa.2003.09.078zbMath1058.35168OpenAlexW4213352064MaRDI QIDQ1827133

Nguyen Thanh Long, Bui Tien Dung

Publication date: 6 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.09.078

zbMATH Keywords

Galerkin methodLinear recurrent sequenceAsymptotic expansion of order 3

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (3)

On a nonlinear Kirchhoff-Carrier wave equation associated with Robin conditions ⋮ On a nonlinear wave equation involving the term \(-\frac{\partial}{\partial x}(u(x,t,u,\|u_x\|^2)u_x)\): linear approximation and asymptotic expansion of solution in many small parameters ⋮ The \(n\)-order iterative schemes for a nonlinear Kirchhoff-Carrier wave equation associated with the mixed inhomogeneous conditions

Cites Work

• On some nonlinear perturbation of Kirchhoff-Carrier operator
• On the nonlinear vibrations equation with a coefficient containing an integral
• Local solutions for a nonlinear degenerate Hyperbolic equation
• Linear Recursive Schemes Associated with Some Nonlinear Partial Differential Equations in One Dimension and the Tau Method
• ON A CLASS OF QUASILINEAR HYPERBOLIC EQUATIONS
• On the nonlinear wave equation uu - uxx = f(x,t,u,ux,ut) associated with the mixed homogenous conditions
• On the non-linear vibration problem of the elastic string
• Linear recursive schemes and asymptotic expansion associated with the Kirchhoff-Carrier operator
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