On Uniqueness for the Generalized Choquard Equation

DOI10.1007/978-3-030-58215-9_11zbMath1479.35790OpenAlexW3096373809MaRDI QIDQ5011324

No author found.

Publication date: 27 August 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-58215-9_11

zbMATH Keywords

local uniquenessground statesChoquard equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Unnamed Item
• Soliton and blow-up solutions to the time-dependent Schrödinger-Hartree equation
• Uniqueness and nondegeneracy of ground states for Choquard equations in three dimensions
• Nonlinear scalar field equations. II: Existence of infinitely many solutions
• Nonlinear scalar field equations. I: Existence of a ground state
• Uniqueness of ground states for pseudorelativistic Hartree equations
• Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \({\mathbb{R}}^ n\)
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• Existence of solitary waves in higher dimensions
• Existence and uniqueness of ground states for \(p\)-Choquard model
• On the classification of the spectrally stable standing waves of the Hartree problem
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• Spectra of Linearized Operators for NLS Solitary Waves
• Modulational Stability of Ground States of Nonlinear Schrödinger Equations
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Existence of groundstates for a class of nonlinear Choquard equations

This page was built for publication: On Uniqueness for the Generalized Choquard Equation