Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 389, Issue 1, Pages 461-468Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2011.11.067
Keywords
Strichartz estimate; Unique continuation; Schrodinger equation
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Funding
- NRF (Korea) [2011-00011251]
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We show a unique continuation result for the differential inequality vertical bar i partial derivative(t)u + Delta u vertical bar <= vertical bar Vu vertical bar. where V is a time-dependent potential. Our results extend those in C.E. Kenig and C.D. Sogge (1988) [7] to include potentials contained in mixed norm spaces (LtLxs)-L-p. Also, we obtain some endpoint inhomogeneous Strichartz estimates for the Schrodinger equation. (C) 2011 Elsevier Inc. All rights reserved.
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