Journal of University of Science and Technology of China ›› 2014, Vol. 44 ›› Issue (2): 87-92.DOI: 10.3969/j.issn.0253-2778.2014.02.001

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A Morawetz estimate related to almost periodic solutions and its application to Schrdinger equations

ZHENG Yunrui   

  1. School of Mathematics,University of Science and Technology of China, Hefei 230026, China
  • Received:2013-03-26 Revised:2013-05-31 Online:2014-02-28 Published:2014-02-28

Abstract: Under the condition ‖u0‖H·≤‖W‖H·, a new type of Morawetz estimate related to almost periodic solutions was given to exclude the existence of a special minimal blowup solutions for three dimentional energy-critical focusing NLS in the radial case, where W is the ground state.

Key words: Morawetz estimate, almost periodic solutions, Schrdinger equations