Asymptotics from Scaling for Nonlinear Wave Equations

DOI10.1080/03605300903540935zbMath1223.35076arXiv0907.4287OpenAlexW3102186418MaRDI QIDQ3066897

N. Szpak

Publication date: 20 January 2011

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

Full work available at URL: https://arxiv.org/abs/0907.4287

zbMATH Keywords

small initial datacompactly supported radial initial datarate and domain of convergence

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Existence and blow up of small amplitude nonlinear waves with a negative potential
• 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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