First Darboux problem for nonlinear hyperbolic equations of second order

DOI10.1134/S0001434608110060zbMath1219.35141MaRDI QIDQ635625

O. M. Dzhokhadze, S. S. Kharibegashvili

Publication date: 20 August 2011

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

zbMATH Keywords

Leray-Schauder theoremintegral equation of Volterra typefirst Darboux problemGreen-Hadamard functionnonlinear hyperbolic equation of second order

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)

Related Items (5)

On the solvability of a boundary value problem for nonlinear wave equations in angular domains ⋮ The second Darboux problem for the wave equation with integral nonlinearity ⋮ The Cauchy-Darboux problem for the one-dimensional wave equation with power nonlinearity ⋮ Unnamed Item ⋮ Second Darboux problem for the wave equation with a power-law nonlinearity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonexistence of global solutions to semilinear wave equations in high dimensions
• Geometric theory of semilinear parabolic equations
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Cauchy problems for two partial differential equations
• Blow up for nonlinear dissipative wave equations in \(\mathbb R^n\)
• Almost global existence to nonlinear wave equations in three space dimensions
• Biow-up of solutions of some nonlinear hyperbolic equations
• Blow-up for quasi-linear wave equations in three space dimensions
• Weighted Strichartz estimates and global existence for semilinear wave equations

This page was built for publication: First Darboux problem for nonlinear hyperbolic equations of second order