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.
Decay and regularity for dispersive equations with constant coefficients
β Scribed by Toshihiko Hoshiro
- Publisher
- Springer-Verlag
- Year
- 2003
- Tongue
- English
- Weight
- 742 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0021-7670
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