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

DOI10.1016/j.jmaa.2004.12.053zbMath1072.35125OpenAlexW2015463651MaRDI QIDQ1779351

Nguyen Thanh Long

Publication date: 1 June 2005

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.2004.12.053

zbMATH Keywords

existencemixed boundary conditionsKirchhoff equationunique local weak solution

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 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
• Asymptotic expansion of the solution for nonlinear wave equation with the mixed homogeneous conditions
• Linear recursive schemes and asymptotic expansion associated with the Kirchhoff-Carrier operator

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