The first Darboux problem for wave equations with a nonlinear positive source term

DOI10.1016/J.NA.2007.08.068zbMath1209.35084OpenAlexW1998249845MaRDI QIDQ949730

O. M. Dzhokhadze, B. G. Midodashvili

Publication date: 21 October 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.08.068

zbMATH Keywords

power nonlinearityglobal and local solvability

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Blow-up in context of PDEs (35B44)

Related Items (7)

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 first Darboux problem for wave equations with nonlinear dissipative term ⋮ 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 ⋮ Unnamed Item

Cites Work

• 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
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Lectures on nonlinear hyperbolic 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: The first Darboux problem for wave equations with a nonlinear positive source term