On a nonlinear wave equation associated with Dirichlet conditions: solvability and asymptotic expansion of solutions in many small parameters

DOI10.5402/2011/625908zbMath1242.35089OpenAlexW4231297198WikidataQ58689884 ScholiaQ58689884MaRDI QIDQ420215

Le Khanh Luan, Nguyen Thanh Long, Le Thi Phuong Ngoc, Tran Minh Thuyet

Publication date: 21 May 2012

Published in: ISRN Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2011/625908

zbMATH Keywords

Faedo-Galerkin methodTaylor expansion of a function

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Asymptotic expansions of solutions to PDEs (35C20) Weak solutions to PDEs (35D30)

Cites Work

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• On the nonlinear wave equation with the mixed nonhomogeneous conditions: linear approximation and asymptotic expansion of solutions
• Existence and asymptotic expansion for a viscoelastic problem with a mixed nonhomogeneous condition
• On a nonlinear wave equation associated with the boundary conditions involving convolution
• Existence, uniqueness and stability of solutions of a class of nonlinear partial differential equations
• On the nonlinear wave equation \(u_{tt}-B(t,\| u \|^2, \| u_x\|^2)u_{xx}=f(x,t,u,u_x,u_t,\| u\|^2,\| u_x\|^2)\) associated with the mixed homogeneous conditions
• On a shock problem involving a nonlinear viscoelastic bar
• Initial value problems and time-periodic solutions for a nonlinear wave equation
• Linear Recursive Schemes Associated with Some Nonlinear Partial Differential Equations in One Dimension and the Tau Method
• On the nonlinear wave equation uu - uxx = f(x,t,u,ux,ut) associated with the mixed homogenous conditions
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
• On bounded and time-periodic solutions of nonlinear wave equations
• Linear recursive schemes and asymptotic expansion associated with the Kirchhoff-Carrier operator

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