Large-time asymptotic behavior of solutions of nonlinear wave equations perturbed from a stationary ground state

DOI10.1080/03605308308820296zbMath0525.35054OpenAlexW1977009461MaRDI QIDQ3039812

Clayton Keller

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/03605308308820296

zbMATH Keywords

energyinstabilityboundednesssemilinear evolution equationlarge-time asymptotic behaviorstationary ground state

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70)

Related Items (5)

Ground state solution for an autonomous nonlinear Schrödinger system ⋮ On the dynamics of semilinear damped wave equations on ⋮ On the Choquard equations under the effect of a general nonlinear term ⋮ Stable and unstable manifolds for the nonlinear wave equation with dissipation ⋮ Minimum action solutions of some vector field equations

Cites Work

• Saddle points and instability of nonlinear hyperbolic equations
• Existence of solitary waves in higher dimensions
• Blow-up theorems for nonlinear wave equations
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