Chinese Quarterly Journal of Mathematics ›› 1994, Vol. 9 ›› Issue (2): 18-24.

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Blow-Up and Mass Concentration of Solutions to the Cauchy Problem for Nonlinear Schrodinger Equations

  

  1. Henan University,Kaifeng,475001
  • Received:1993-01-10 Online:1994-06-30 Published:2025-04-24
  • Supported by:
    This work was supported in part/by the Natural Science Foundation of Henan Province.

Abstract: We prove in this paper the blow-up theorem of the generalized solution.and ts L²mass concentration theorem on the set of blow-up points near the blow-up time of the Cauchy problem fr nonlinear Schrodinger equations and give the structure of the set of the blow-up points and the estimates on the blow-up time.Furthermore we extend and improve some results in [2] and [5].



Key words: Schrodinger equation:Cauchy problem, mass con centration

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