Blow-up rate for critical nonlinear Schrödinger equation with Stark potential

DOI10.1080/00036810801926908zbMath1139.35318OpenAlexW2038410692WikidataQ58243712 ScholiaQ58243712MaRDI QIDQ5459800

Xiaoguang Li, Shihui Zhu

Publication date: 29 April 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810801926908

zbMATH Keywords

Cauchy problemStark potentialsharp lower and upper bounds

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (1)

Enhancement of the Zakharov–Glassey’s method for Blow-up in nonlinear Schrödinger equations

Cites Work

• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation
• Profiles and quantization of the blow up mass for critical nonlinear Schrödinger equation
• Stability of the log-log bound for blow up solutions to the critical nonlinear Schrödinger equation
• On universality of blow up profile for \(L^2\) critical nonlinear Schrödinger equation
• The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation

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