Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
On well-posedness for general hierarchy equations of Gross-Pitaevskii and Hartree type - MaRDI portal

On well-posedness for general hierarchy equations of Gross-Pitaevskii and Hartree type (Q2192399)

From MaRDI portal

Jump to:navigation, search

scientific article

Language	Label	Description	Also known as
English	On well-posedness for general hierarchy equations of Gross-Pitaevskii and Hartree type	scientific article

Statements

scholarly article

0 references

On well-posedness for general hierarchy equations of Gross-Pitaevskii and Hartree type (English)

0 references

0 references

0 references

0 references

Archive for Rational Mechanics and Analysis

0 references

publication date

17 August 2020

0 references

full work available at URL

https://arxiv.org/abs/1802.09041

0 references

MaRDI profile type

MaRDI publication profile

0 references

0 references

Uniqueness of signed measures solving the continuity equation for Osgood vector fields

0 references

Semiclassical limit of quantum dynamics with rough potentials and well‐posedness of transport equations with measure initial data

0 references

0 references

Propagation of chaos for many-boson systems in one dimension with a point pair-interaction

0 references

Mean field limit for bosons and propagation of Wigner measures

0 references

Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states

0 references

Wigner measures approach to the classical limit of the Nelson model: convergence of dynamics and ground state energy

0 references

Bohr's Correspondence Principle for the Renormalized Nelson Model

0 references

On the rate of convergence for the mean field approximation of bosonic many-body quantum dynamics

0 references

On uniqueness of measure-valued solutions to Liouville's equation of Hamiltonian PDEs

0 references

Mean field limit for bosons and infinite dimensional phase-space analysis

0 references

Mean field propagation of infinite dimensional Wigner measures with a singular two-body interaction potential

0 references

Rate of convergence towards the Hartree-von Neumann limit in the mean-field regime

0 references

Derivation of the Hartree equation for compound Bose gases in the mean field limit

0 references

Weak coupling limit of the \(N\)-particle Schrödinger equation

0 references

Effective Evolution Equations from Quantum Dynamics

0 references

Young measure, superposition and transport

0 references

Some remarks on the continuity equation

0 references

0 references

0 references

The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\)

0 references

The cauchy problem for the critical nonlinear Schrödinger equation in Hs

0 references

Rate of convergence in nonlinear Hartree dynamics with factorized initial data

0 references

Multilinear Morawetz identities for the Gross-Pitaevskii hierarchy

0 references

On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti

0 references

Unconditional Uniqueness for the Cubic Gross-Pitaevskii Hierarchy via Quantum de Finetti

0 references

On the Cauchy problem for focusing and defocusing Gross-Pitaevskii hierarchies

0 references

Recent Results on the Cauchy Problem for Focusing and Defocusing Gross-Pitaevskii Hierarchies

0 references

The quintic NLS as the mean field limit of a boson gas with three-body interactions

0 references

A new proof of existence of solutions for focusing and defocusing Gross-Pitaevskii hierarchies

0 references

Derivation of the cubic NLS and Gross-Pitaevskii hierarchy from manybody dynamics in \(d=3\) based on spacetime norms

0 references

Energy conservation and blowup of solutions for focusing Gross-Pitaevskii hierarchies

0 references

Derivation in Strong Topology and Global Well-Posedness of Solutions to the Gross-Pitaevskii Hierarchy

0 references

On the rigorous derivation of the 2D cubic nonlinear Schrödinger equation from 3D quantum many-body dynamics

0 references

Correlation Structures, Many-Body Scattering Processes, and the Derivation of the Gross–Pitaevskii Hierarchy

0 references

Focusing quantum many-body dynamics: the rigorous derivation of the 1D focusing cubic nonlinear Schrödinger equation

0 references

On the Klainerman-Machedon conjecture for the quantum BBGKY hierarchy with self-interaction

0 references

Focusing quantum many-body dynamics. II: The rigorous derivation of the 1D focusing cubic nonlinear Schrödinger equation from 3D

0 references

The Rigorous Derivation of the 2D Cubic Focusing NLS from Quantum Many-Body Evolution

0 references

On the unconditional uniqueness of solutions to the infinite radial Chern-Simons-Schrödinger hierarchy

0 references

Ordinary differential equations, transport theory and Sobolev spaces

0 references

Gross-Pitaevskii equation as the mean field limit of weakly coupled bosons

0 references

Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate

0 references

Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems

0 references

Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential

0 references

Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate

0 references

Derivation of the nonlinear Schrödinger equation from a many body Coulomb system

0 references

Atomism and quantization

0 references

Mean-field- and classical limit of many-body Schrödinger dynamics for bosons

0 references

On the mean-field limit of bosons with Coulomb two-body interaction

0 references

Besov Spaces and Unconditional Well-Posedness for the Nonlinear Schrödinger Equation in $\dot{\rm H}^s({\mathbb R}^n)$

0 references

The classical field limit of scattering theory for non-relativistic many- boson systems. I

0 references

The classical field limit of scattering theory for non-relativistic many- boson systems. II

0 references

0 references

On the uniqueness of solutions to the periodic 3D Gross-Pitaevskii hierarchy

0 references

Pair excitations and the mean field approximation of interacting Bosons. I

0 references

On the Unconditional Uniqueness for NLS in $\dot{H}^s$

0 references

The Gross-Pitaevskii hierarchy on general rectangular tori

0 references

Unconditional Uniqueness of the cubic Gross--Pitaevskii Hierarchy with Low Regularity

0 references

Uniqueness of solutions to the 3D quintic Gross-Pitaevskii hierarchy

0 references

Measurements of entanglement and a quantum de Finetti theorem

0 references

Locally normal symmetric states and an analogue of de Finetti's theorem

0 references

0 references

On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness

0 references

On the uniqueness of solutions to the Gross-Pitaevskii hierarchy

0 references

Mean-field dynamics: Singular potentials and rate of convergence

0 references

Rate of Convergence to Mean Field for Interacting Bosons

0 references

C 1 is Uniformly Kadec-Klee

0 references

Derivation of Hartree's theory for generic mean-field Bose systems

0 references

Remarks on the Quantum de Finetti Theorem for Bosonic Systems

0 references

Bogoliubov Spectrum of Interacting Bose Gases

0 references

The mathematics of the Bose gas and its condensation.

0 references

Unconditional uniqueness of solution for \(\dot{H}^{s_c}\) critical NLS in high dimensions

0 references

Probabilistic representation and uniqueness results for measure-valued solutions of transport equations

0 references

On weak convergence of measures on Hilbert spaces

0 references

0 references

A simple derivation of mean field limits for quantum systems

0 references

Derivation of the time dependent Gross–Pitaevskii equation with external fields

0 references

Quantum fluctuations and rate of convergence towards mean field dynamics

0 references

Unconditional well-posedness for subcritical NLS in \(H^s\)

0 references

0 references

A rigorous derivation of the defocusing cubic nonlinear Schrödinger equation on \(\mathbb{T}^3\) from the dynamics of many-body quantum systems

0 references

Local existence of solutions to randomized Gross-Pitaevskii hierarchies

0 references

Randomization and the Gross-Pitaevskii hierarchy

0 references

Symmetric states of infinite tensor products of \(C^ *\)-algebras

0 references

0 references

Unconditional uniqueness of solution for the Cauchy problem of the nonlinear Schrödinger equation

0 references

Identifiers

zbMATH Open document ID

0 references

10.1007/s00205-020-01557-9

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

zbMATH DE Number

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2192399

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q2192399&oldid=36609553"