On the solvability of a mixed problem for an one-dimensional semilinear wave equation with a nonlinear boundary condition

DOI10.3103/S1068362318050011zbMath1407.35127OpenAlexW2913088838MaRDI QIDQ1725464

S. S. Kharibegashvili, N. N. Shavlakadze, O. M. Dzhokhadze

Publication date: 14 February 2019

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362318050011

zbMATH Keywords

uniquenessglobal solution

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) A priori estimates in context of PDEs (35B45) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items (3)

Mixed problem with a nonlinear boundary condition for a semilinear wave equation ⋮ Solvability of a mixed problem with nonlinear boundary condition for a one-dimensional semilinear wave equation ⋮ Existence of solutions for a class of IBVP for nonlinear hyperbolic equations

Cites Work

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• Asymptotic behavior and nonexistence of wave equation with nonlinear boundary condition
• Solvability and stability of a semilinear wave equation with nonlinear boundary conditions
• Global existence for the wave equation with nonlinear boundary damping and source terms
• Blow-up of weak solutions for the semilinear wave equations with nonlinear boundary and interior sources and damping
• Existence and nonexistence of global solutions of the wave equation with a nonlinear boundary condition
• Global and blowup solutions of a mixed problem with nonlinear boundary conditions for a one-dimensional semilinear wave equation

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