A direct method for global nonexistence of one dimensional wave equation with nonlinear boundary-source

DOI10.1007/S13226-013-0036-5zbMath1282.35089OpenAlexW2130529398MaRDI QIDQ395124

Hongyinping Feng, Xia Zhi, Sheng-Jia Li

Publication date: 28 January 2014

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-013-0036-5

zbMATH Keywords

nonlinear boundary conditionlinear equationnon-dissipative system

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Blow-up solutions for a nonlinear wave equation with boundary damping and interior source
• Blow-up solutions for a string equation with nonlinear boundary source and arbitrary-initial-energy
• Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
• Global nonexistence for abstract evolution equations with positive initial energy
• Existence of a solution of the wave equation with nonlinear damping and source terms
• Global nonexistence theorems for quasilinear evolution equations with dissipation
• Blow up for nonlinear dissipative wave equations in \(\mathbb R^n\)
• Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term
• Global solutions and finite time blow up for damped semilinear wave equations
• Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation

This page was built for publication: A direct method for global nonexistence of one dimensional wave equation with nonlinear boundary-source