Second Darboux problem for the wave equation with a power-law nonlinearity

DOI10.1134/S0012266113120124zbMath1295.35325WikidataQ115251926 ScholiaQ115251926MaRDI QIDQ2251804

O. M. Dzhokhadze, S. S. Kharibegashvili

Publication date: 15 July 2014

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

global solutionabsence of global solutions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Second-order semilinear hyperbolic equations (35L71)

Related Items (6)

Classical solution of the first mixed problem for the telegraph equation with a nonlinear potential ⋮ On the solvability of a boundary value problem for nonlinear wave equations in angular domains ⋮ On solvability of a periodic problem for a nonlinear telegraph equation ⋮ Classical solution of the second mixed problem for the telegraph equation with a nonlinear potential ⋮ Time-periodic problem for a weakly nonlinear telegraph equation with directional derivative in the boundary condition ⋮ Unnamed Item

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
• Geometric theory of semilinear parabolic equations
• 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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