Solvability of a mixed problem with nonlinear boundary condition for a one-dimensional semilinear wave equation

DOI10.1134/S0001434620070123zbMath1448.35326OpenAlexW3047108906MaRDI QIDQ2197239

S. S. Kharibegashvili, O. M. Dzhokhadze

Publication date: 31 August 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620070123

zbMATH Keywords

blow-up solutionsnonexistence of solutionlocal and global solvability

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 (2)

Asymptotic problems of reconstructing a high-frequency source of a wave equation ⋮ Mixed problem with a nonlinear boundary condition for a semilinear wave equation

Cites Work

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• Asymptotic behavior and nonexistence of wave equation with nonlinear boundary condition
• Local Hadamard well-posedness for nonlinear wave equations with supercritical sources and damping
• Solvability and stability of a semilinear wave equation with nonlinear boundary conditions
• On the solvability of a mixed problem for an one-dimensional semilinear wave equation with a nonlinear boundary condition
• Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term
• Global existence for the wave equation with nonlinear boundary damping and source terms
• Global and blowup solutions of a mixed problem with nonlinear boundary conditions for a one-dimensional semilinear wave equation

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