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

  • School of Mathematics,University of Science and Technology of China, Hefei 230026, China

Cite this:
https://doi.org/10.3969/j.issn.0253-2778.2014.02.001
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  • Author Bio:

    ZHENG Yunrui, male, born in 1985, master. Research field: Partial differential equations.

  • Received Date: 26 March 2013
  • Rev Recd Date: 31 May 2013
  • Publish Date: 28 February 2014
    Abstract

  • 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.

    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.
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