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

DOI10.1016/j.na.2003.07.002zbMath1028.35091OpenAlexW1991328363MaRDI QIDQ1412227

Bui Tien Dung, Nguyen Thanh Long

Publication date: 10 November 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.07.002

zbMATH Keywords

Galerkin methodasymptotic expansionone space dimensionnonlocal terms

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)

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On the nonlinear wave equation \(u_{tt}-B(t,\|u\|^2, \|u_{x}\|^2, \|u_t\|^2)u_{xx}= f(x,t,u,u_x,u_t,\|u\|^2,\|u_x\|^2,\|u_t\|^2)\) associated with mixed homogeneous conditions.

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