涓浗绉戝闄㈡暟瀛︿笌绯荤粺绉戝鐮旂┒闄㈡湡鍒婄綉
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鏁板瀛︽姤(鑻辨枃鐗�) 鈥衡�� 2009, Vol. 25 鈥衡�� Issue (4): 0-0.

鈥� articles 鈥�    涓嬩竴绡�

甯﹁皟鍜屽娍鐨勯潪绾挎�chrodinger鏂圭▼鏁翠綋瑙ｅ瓨鍦ㄧ殑鏈�浣虫潯浠�

鑸掔骇寮犲仴   

  1. 鍥涘窛甯堣寖澶у鏁板涓庤蒋浠剁瀛﹀闄㈠洓宸濆笀鑼冨ぇ瀛︽暟瀛︿笌杞欢绉戝瀛﹂櫌
  • 鏀剁鏃ユ湡:2007-09-06 淇洖鏃ユ湡:1900-01-01 鍑虹増鏃ユ湡:2009-04-15 鍙戝竷鏃ユ湡:2009-04-15
  • 閫氳浣滆��: 鑸掔骇

Sharp criterion of global existence for nonlinear Schrodinger equation with harmonic potential

Jian Zhang   

  1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China
  • Received:2007-09-06 Revised:1900-01-01 Online:2009-04-15 Published:2009-04-15

鎽樿锛� 鏈枃璁ㄨ甯﹁皟鍜屽娍鐨勯潪绾挎�chrodinger鏂圭▼.閫氳繃鏋勯�犱笉鍚岀殑浜ゅ弶绾︽潫鍙樺垎闂鍜屼笉鍙橀泦,鎴戜滑寰楀埌浜嗚В鐖嗙牬鍜屾暣浣撳瓨鍦ㄧ殑涓�涓柊鐨勯棬妲涙潯浠�.

Abstract: This paper discusses nonlinear Schrodinger equation with harmonic potential. By constructing different cross-constrained variational problem and so-called invariant sets , we derive a new threshold for blowup and global existence of solutions.

Key words: Harmonic potential, Cross-constrained variational problem, Blowup, Nonlinear Schrodinger equation, Global existence