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Formation of singularities in solutions of the nonlinear Schrödinger equation

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Publication:1178765
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DOI10.3792/pjaa.67.29zbMath0756.35095OpenAlexW1984197327MaRDI QIDQ1178765

Hayato Nawa

Publication date: 26 June 1992

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.67.29


zbMATH Keywords

initial value problemblow up solution


Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) NLS equations (nonlinear Schrödinger equations) (35Q55)


Related Items

[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

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  • Nonlinear Schrödinger equations and sharp interpolation estimates
  • ``Mass concentration phenomenon for the nonlinear Schrödinger equation with the critical power nonlinearity. II
  • On a class of nonlinear Schrödinger equations. II. Scattering theory, general case
  • Solutions of Hartree-Fock equations for Coulomb systems
  • On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations
  • On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
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