Department of Mathematics
University of California, CA 90095, USA.
Institute for Advanced Study, Princeton, NJ 08540, USA
email: slshao@math.ias.edu
Shuanglin Shao
Abstract:
In this paper, we first show that there exists a maximizer for the
non-endpoint Strichartz inequalities for the Schrodinger
equation in all dimensions based on the recent linear profile
decomposition result. We then present a new proof of the linear
profile decomposition for the Schroindger equation with initial
data in the homogeneous Sobolev space; as a consequence, there
exists a maximizer for the Sobolev-Strichartz inequality.
Submitted October 13, 2008. Published January 2, 2009.
Math Subject Classifications: 35Q55.
Key Words: Maximizers; Profile decomposition; Schrodinger equation;
Strichartz inequality.
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Shuanglin Shao Department of Mathematics University of California, CA 90095, USA. Institute for Advanced Study, Princeton, NJ 08540, USA email: slshao@math.ias.edu |
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