Relaxation to intermediate attractors in nonlinear wave equations

DOI10.1023/A:1010460004007zbMath0990.35107MaRDI QIDQ1347423

N. Szpak

Publication date: 3 June 2002

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

quasi-normal modescritical gravitational collapsedynamics near the threshold of singularity formationthreshold between dispersion and black-hole formation

Mathematics Subject Classification ID

Attractors (35B41) Black holes (83C57) Second-order nonlinear hyperbolic equations (35L70)

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Dispersive and Strichartz estimates for the three-dimensional wave equation with a scaling-critical class of potentials ⋮ Instability of steady states for nonlinear wave and heat equations ⋮ Quasinormal modes, echoes and the causal structure of the Green's function ⋮ Nonscattering solutions and blowup at infinity for the critical wave equation ⋮ Center-stable manifold of the ground state in the energy space for the critical wave equation ⋮ On similarity in the evolution of semilinear wave and Klein-Gordon equations: Numerical surveys

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