Global and blowup solutions of a mixed problem with nonlinear boundary conditions for a one-dimensional semilinear wave equation

DOI10.1070/SM2014V205N04ABEH004388zbMath1295.35326MaRDI QIDQ5495171

S. S. Kharibegashvili, O. M. Dzhokhadze

Publication date: 31 July 2014

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

comparison theoremsone space dimensionspring fastened elastically at one end

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Strings (74K05) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items (4)

Mixed problem with a nonlinear boundary condition for a semilinear wave equation ⋮ Classical solution of the first mixed problem for the telegraph equation with a nonlinear potential in a curvilinear quadrant ⋮ Solvability of a mixed problem with nonlinear boundary condition for a one-dimensional semilinear wave equation ⋮ On the solvability of a mixed problem for an one-dimensional semilinear wave equation with a nonlinear boundary condition

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