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Craig, W; Kappeler, T; Strauss, W (1995). Microlocal dispersive smoothing for the Schrödinger equation. Communications on Pure and Applied Mathematics, 48(8):769-860.

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Abstract

This paper establishes a connection between the microlocal smoothness of solutions of the initial value problem for Schrödinger's equation and the global behavior of bicharacteristics of the principal symbol. In particular, localized initial data gives rise to solutions which are microlocally smooth at all points which are not trapped backwards by the bicharacteristic flow. The origin of the phenomenon is in the dispersive nature of the equation. The results imply microlocal regularity properties of the fundamental solution. ©1995 John Wiley & Sons. Inc.

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
DDC:510 Mathematics
Language:English
Date:1995
Deposited On:18 Feb 2010 13:21
Last Modified:27 Nov 2013 17:50
Publisher:Wiley-Blackwell
ISSN:0010-3640
Publisher DOI:10.1002/cpa.3160480802
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1361016
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0856.35106
Citations:Web of Science®. Times Cited: 80
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