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Oscillatory integrals with nonhomogeneous phase functions related to Schrödinger equations |
Canad. Math. Bull. 41(1998), 306-317
Published:1998-09-01
Printed: Sep 1998
Printed: Sep 1998
- Lawrence A. Kolasa
Abstract
In this paper we consider solutions to the free Schr\" odinger
equation in $n+1$ dimensions. When we restrict the last variable
to be a smooth function of the first $n$ variables we find that the
solution, so restricted, is locally in $L^2$, when the initial data
is in an appropriate Sobolev space.
| MSC Classifications: |
42A25 - unknown classification 42A25 42B25 - Maximal functions, Littlewood-Paley theory |