On singularity formation for theL2-critical Boson star equation
From MaRDI portal
Publication:3108000
DOI10.1088/0951-7715/24/12/009zbMath1235.35231arXiv1103.3140OpenAlexW2036336050MaRDI QIDQ3108000
Publication date: 28 December 2011
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.3140
Gravitational interaction in quantum theory (81V17) PDEs in connection with quantum mechanics (35Q40) PDEs in connection with relativity and gravitational theory (35Q75) Blow-up in context of PDEs (35B44)
Related Items (29)
On the blow-up solutions for the nonlinear fractional Schrödinger equation ⋮ On asymptotic properties of semi-relativistic Hartree equation with combined Hartree-type nonlinearities ⋮ Strichartz estimates for higher-order Schrödinger equations and their applications ⋮ Normalized ground states for the critical fractional Choquard equation with a local perturbation ⋮ Unnamed Item ⋮ On critical pseudo-relativistic Hartree equation with potential well ⋮ Stability of standing waves for the nonlinear fractional Schrödinger equation ⋮ On blow-up profile of ground states of boson stars with external potential ⋮ Optimal convergence rate and regularity of nonrelativistic limit for the nonlinear pseudo-relativistic equations ⋮ Vortex solutions for pseudo-relativistic Hartree equations ⋮ On some qualitative aspects for doubly nonlocal equations ⋮ Uniqueness and non-degeneracy of ground states for Choquard equations with fractional Laplacian ⋮ Existence and mass concentration of pseudo-relativistic Hartree equation ⋮ Validity of Bogoliubov's approximation for translation-invariant Bose gases ⋮ The higher regularity and decay estimates for positive solutions of fractional Choquard equations ⋮ Derivation of Hartree's theory for generic mean-field Bose systems ⋮ Blow-up profile of pseudo-relativistic Hartree equations with singular potentials ⋮ On the Stability of 2D Dipolar Bose--Einstein Condensates ⋮ Stability of standing waves for the fractional Schrödinger-Choquard equation ⋮ Normalized solutions for the fractional Schrödinger equation with a focusing nonlocal L2-critical or L2-supercritical perturbation ⋮ On a coupled Schrödinger system with Stein-Weiss type convolution part ⋮ Unnamed Item ⋮ The time fractional Schrödinger equation with a nonlinearity of Hartree type ⋮ Standing waves for the pseudo-relativistic Hartree equation with Berestycki-Lions nonlinearity ⋮ Many-body blow-up profile of boson stars with external potentials ⋮ Dynamical boson stars ⋮ Dynamical boson stars ⋮ Blow-up profile of neutron stars in the Hartree-Fock-Bogoliubov theory ⋮ On the dynamical collapse of pseudo-relativistic quantum stars
This page was built for publication: On singularity formation for theL2-critical Boson star equation