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Decay and regularity for harmonic oscillator-type equations

✍ Scribed by Cappiello, Marco; Gramchev, Todor; Rodino, Luigi

Book ID
115454889
Publisher
Taylor and Francis Group
Year
2009
Tongue
English
Weight
120 KB
Volume
20
Category
Article
ISSN
1065-2469

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✍ BjΓΆrn G. Walther πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 114 KB

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.