Global dynamics above the ground state for the energy-critical Schrödinger equation with radial data

DOI10.3934/CPAA.2016026zbMath1352.35165arXiv1510.04479OpenAlexW2963432382MaRDI QIDQ334489

Kenji Nakanishi, Tristan Roy

Publication date: 1 November 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.04479

zbMATH Keywords

nonlinear Schrödinger equationblow-upsolitonsscattering theorySobolev critical exponent

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Blow-up in context of PDEs (35B44) Soliton solutions (35C08)

Related Items (5)

Scattering above energy norm of a focusing size-dependent log energy-supercritical Schrödinger equation with radial data below ground state ⋮ Construction of two-bubble solutions for the energy-critical NLS ⋮ Formation of singularities in nonlinear dispersive PDEs ⋮ Global dynamics of solutions with group invariance for the nonlinear Schrödinger equation ⋮ Linear instability and nondegeneracy of ground state for combined power-type nonlinear scalar field equations with the Sobolev critical exponent and large frequency parameter

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