Concentration-compactness and universal profiles for the non-radial energy critical wave equation

DOI10.1016/j.na.2015.12.027zbMath1339.35186arXiv1510.01750OpenAlexW2964128787MaRDI QIDQ272731

Frank Merle, Carlos E. Kenig, Thomas Duyckaerts

Publication date: 20 April 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.01750

zbMATH Keywords

compact solutionsrigidity theoremsprofile decompositionuniversal profiles

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Related Items (13)

Attractors of Hamilton nonlinear PDEs ⋮ On Solutions with Compact Spectrum to Nonlinear Klein--Gordon and Schrödinger Equations ⋮ Soliton resolution along a sequence of times for the focusing energy critical wave equation ⋮ Optimal control of an energy-critical semilinear wave equation in 3D with spatially integrated control constraints ⋮ Strichartz estimates and blowup stability for energy critical nonlinear wave equations ⋮ Blowup stability at optimal regularity for the critical wave equation ⋮ Global dynamics around 2-solitons for the nonlinear damped Klein-Gordon equations ⋮ Attractors of nonlinear Hamiltonian partial differential equations ⋮ Quantization of time-like energy for wave maps into spheres ⋮ Scattering profile for global solutions of the energy-critical wave equation ⋮ Infinite-time blow-up for the 3-dimensional energy-critical heat equation ⋮ Solutions with compact time spectrum to nonlinear Klein-Gordon and Schrödinger equations and the Titchmarsh theorem for partial convolution ⋮ Soliton resolution for critical co-rotational wave maps and radial cubic wave equation

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