Late-time attractor for the cubic nonlinear wave equation

DOI10.1063/1.3470957zbMath1312.35132arXiv0909.1264OpenAlexW3101297764MaRDI QIDQ5253704

N. Szpak

Publication date: 27 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.1264

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05)

Cites Work

• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Universality of global dynamics for the cubic wave equation
• Blow-up for solutions of □u=|u|^pwith small initial data.
• LINEAR AND NONLINEAR TAILS I: GENERAL RESULTS AND PERTURBATION THEORY
• LINEAR AND NONLINEAR TAILS II: EXACT DECAY RATES IN SPHERICAL SYMMETRY
• Existence of a global solution to a semi–linear wave equation with slowly decreasing initial data in three space dimensions

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