Rate of $L^2$-concentration of blow-up solutions for critical nonlinear Schrödinger equation
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Publication:5295108
DOI10.1090/S0002-9939-07-08902-2zbMath1171.35113OpenAlexW2080209400MaRDI QIDQ5295108
Publication date: 27 July 2007
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08902-2
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)
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Cites Work
- Unnamed Item
- L\({}^ 2\) concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
- Existence of solitary waves in higher dimensions
- On a class of nonlinear Schrödinger equations. II. Scattering theory, general case
- 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
- Rate of L2 concentration of blow-up solutions for the nonlinear schrödinger equation with critical power
- Blow-Up of H 1 Solutions for the One-Dimensional Nonlinear Schrodinger Equations with Critical Power Nonlinearity
- On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
- [https://portal.mardi4nfdi.de/wiki/Publication:4257011 Asymptotic and limiting profiles of blowup solutions of the nonlinear Schr�dinger equation with critical power]
- On a sharp lower bound on the blow-up rate for the 𝐿² critical nonlinear Schrödinger equation
- On the formation of singularities in solutions of the critical nonlinear Schrödinger equation
- Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations.
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