Exponential stability of the approximate fundamental mode of a nonlinear wave equation

DOI10.1007/BF02465148zbMath0951.35083OpenAlexW2077173560MaRDI QIDQ1966296

Nikolaiĭ N. Nekhoroshev

Publication date: 28 February 2000

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02465148

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70)

Cites Work

• Exponential stability of states close to resonance in infinite-dimensional Hamiltonian systems
• A property of exponential stability in nonlinear wave equations near the fundamental linear mode
• Newton's method and periodic solutions of nonlinear wave equations

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