Limiting profile of blow-up solutions for the Gross-Pitaevskii equation (Q1041550)

scientific article; zbMATH DE number 5641625

Language	Label	Description	Also known as
English	Limiting profile of blow-up solutions for the Gross-Pitaevskii equation	scientific article; zbMATH DE number 5641625

Statements

instance of

scholarly article

0 references

title

Limiting profile of blow-up solutions for the Gross-Pitaevskii equation (English)

0 references

0 references

0 references

0 references

Science in China. Series A

0 references

publication date

2 December 2009

0 references

zbMATH Keywords

limiting profile

0 references

critical mass

0 references

scaling technique

0 references

MaRDI profile type

Publication

0 references

full work available at URL

https://doi.org/10.1007/s11425-008-0140-x

0 references

cites work

Stability of attractive Bose-Einstein condensates

0 references

On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case

0 references

On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations

0 references

Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation

0 references

Nonlinear Schrödinger equations and sharp interpolation estimates

0 references

Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations.

0 references

On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations

0 references

L\({}^ 2\) concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity

0 references

On uniqueness and continuation properties after blow‐up time of self‐similar solutions of nonlinear schrödinger equation with critical exponent and critical mass

0 references

Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power

0 references

The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation

0 references

On universality of blow up profile for \(L^2\) critical nonlinear Schrödinger equation

0 references

On a sharp lower bound on the blow-up rate for the 𝐿² critical nonlinear Schrödinger equation

0 references

Profiles and quantization of the blow up mass for critical nonlinear Schrödinger equation

0 references

Stability of the log-log bound for blow up solutions to the critical nonlinear Schrödinger equation

0 references

Proof of a spectral property related to the singularity formation for the \(L^{2}\) critical nonlinear Schrödinger equation

0 references

Cauchy problem and Ehrenfest's law of nonlinear Schrödinger equations with potentials

0 references

Q4434430

0 references

Sharp Threshold for Blowup and Global Existence in Nonlinear Schrödinger Equations Under a Harmonic Potential

0 references

Nonlinear Schrödinger equation with harmonic potential

0 references

Sharp threshold of global existence for non-linear Gross–Pitaevskii equation in ℝN

0 references

CRITICAL NONLINEAR SCHRÖDINGER EQUATIONS WITH AND WITHOUT HARMONIC POTENTIAL

0 references

Limit behavior of blow-up solutions for critical nonlinear Schrödinger equation with harmonic potential.

0 references

Evolution of solitons of nonlinear Schrödinger equation with variable parameters

0 references

Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)

0 references

Existence of solitary waves in higher dimensions

0 references

Minimum action solutions of some vector field equations

0 references

The concentration-compactness principle in the calculus of variations. The locally compact case. II

0 references

A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

0 references

Identifiers

zbMATH Open document ID

1180.35140

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

10.1007/S11425-008-0140-X

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:1041550