The Cauchy-Darboux problem for the one-dimensional wave equation with power nonlinearity

DOI10.1134/S0037446613060190zbMath1288.35357MaRDI QIDQ2436110

S. S. Kharibegashvili, O. M. Dzhokhadze

Publication date: 21 February 2014

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

zbMATH Keywords

nonexistence of solution

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Second-order semilinear hyperbolic equations (35L71)

Related Items (2)

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Cites Work

• First Darboux problem for nonlinear hyperbolic equations of second order
• On the existence and absence of global solutions of the first Darboux problem for nonlinear wave equations
• The first Darboux problem for wave equations with a nonlinear positive source term
• On existence and nonexistence of global solutions of Cauchy-Goursat problem for nonlinear wave equations
• Finite difference solution of a nonlinear Klein-Gordon equation with an external source
• Cauchy–Goursat Problem for One-Dimensional Semilinear Wave Equations
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