Schrödinger equation and the oscillatory semigroup for the Hermite operator
- Nandakumaran, A.K.
- Ratnakumar, P.K.
Publication date
July 2005
DOI Publisher
Elsevier Inc. ISSN
0022-1236 Citation count (estimate)
8Abstract
AbstractWe discuss the regularity of the oscillatory semigroup eitH, where H=-Δ+|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
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