| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9495968 | Journal of Functional Analysis | 2005 | 15 Pages |
Abstract
We discuss the regularity of the oscillatory semigroup eitH, where H=-Î+|x|2 is the n-dimensional Hermite operator. The main result is a Strichartz-type estimate for the oscillatory semigroup eitH in terms of the mixed Lp spaces. The result can be interpreted as the regularity of solution to the Schrödinger equation with potential V(x)=|x|2.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
A.K. Nandakumaran, P.K. Ratnakumar,