✦ LIBER ✦

Regularity, Decay, and Best Constants for Dispersive Equations

✍ Scribed by Björn G. Walther

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 114 KB
Volume: 189
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.2001.3863

No coin nor oath required. For personal study only.

✦ Synopsis

We show that the Strichartz L 2 w (L 2 )-estimates for solutions to the (pseudo-) differential equations -D x u=i" t u and -D x +1 u=i" t u are equivalent. A necessary and sufficient condition for decay and regularity for solutions to the equation j(-D x ) u=i" t u is given.

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