Asymptotic Behavior of Solutions for the NLS Equation

  • Felipe LinaresEmail author
  • Gustavo Ponce
Part of the Universitext book series (UTX)


In this chapter we shall study the longtime behavior of the local solutions of the IVP associated to the nonlinear Schrödinger equation. We will discuss global well-posedness results and describe some blow-up results. We end the chapter with some remarks and comments regarding the issues discussed in the previous sections.


Solitary Wave Finite Time Local Solution Initial Value Problem Radial Solution 
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Copyright information

© Springer-Verlag New York 2015

Authors and Affiliations

  1. 1.Instituto Nacional de Matemática Pura e Aplicada (IMPA)Rio de JaneiroBrazil
  2. 2.Dept. MathematicsUniversity of California, Santa Barbara College of Letters & ScienceSanta BarbaraUSA

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