On the solvability of a boundary value problem for nonlinear wave equations in angular domains

DOI10.1134/S0012266116050104zbMath1350.35124MaRDI QIDQ311192

S. S. Kharibegashvili, O. M. Dzhokhadze

Publication date: 29 September 2016

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

zbMATH Keywords

angular domainsDarboux boundary value problemweak nonlinearity

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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Second-order semilinear hyperbolic equations (35L71)

Related Items (2)

Unnamed Item ⋮ A mixed boundary value problem for \(u_{xy} = f(x,y,u,u_x,u_y)\)

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
• Second Darboux problem for the wave equation with a power-law nonlinearity
• On the Cauchy and Cauchy-Darboux problems for semilinear wave equations
• The Cauchy-Darboux problem for the one-dimensional wave equation with power nonlinearity
• On existence and nonexistence of global solutions of Cauchy-Goursat problem for nonlinear wave equations
• A boundary-value problem for hyperbolic equations
• Cauchy–Goursat Problem for One-Dimensional Semilinear Wave Equations
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