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Maximizers for the Strichartz and the Sobolev-Strichartz inequalities for the Schrödinger equation
Shao, Shuanglin
Shao, Shuanglin
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Abstract
In this paper, we first show that there exists a maximizer for
the non-endpoint Strichartz inequalities for the Schr¨odinger 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 Schr¨oindger
equation with initial data in the homogeneous Sobolev space; as a consequence,
there exists a maximizer for the Sobolev-Strichartz inequality.
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This is the published version, also available here: http://ejde.math.txstate.edu/.
Date
2009-09-04
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Texas State University, Department of Mathematics
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Shao, Shuanglin. "Maximizers for the Strichartz and the Sobolev-Strichartz inequalities for the Schrödinger equation." (2009) Electronic Journal of Differential Equations. Vol 3. pg. 1-13. http://ejde.math.txstate.edu/