Limiting profiles of blow-up solutions of the nonlinear Schrödinger equation with critical power nonlinearity

DOI10.3792/pjaa.73.171zbMath0899.35106OpenAlexW1990539959MaRDI QIDQ1387865

Hayato Nawa

Publication date: 17 November 1998

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.73.171

zbMATH Keywords

asymptotic behavior of blow-up solutionsCauchy problem for the nonlinear Schrödinger equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (3)

Limiting behavior of blow-up solutions for the cubic nonlinear beam equation ⋮ On the Cauchy problem for the nonlinear Schrödinger equations with time-dependent linear loss/gain ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:4257011 Asymptotic and limiting profiles of blowup solutions of the nonlinear Schr�dinger equation with critical power]

Cites Work

• Nonlinear Schrödinger equations and sharp interpolation estimates
• Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity
• Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
• Asymptotic profiles of blow-up solutions of the nonlinear Schrödinger equation with critical power nonlinearity
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations
• 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]
• [https://portal.mardi4nfdi.de/wiki/Publication:4257013 On blowup for the pseudo-conformally invariant nonlinear Schr�dinger equation II]
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