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J. Kim, A. Arnold, X. Yao:
"Global estimates of fundamental solutions for higher-order Schrödinger equations";
in: "ASC Report 10/2011", issued by: Institut for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2011, ISBN: 978-3-902627-04-9, 1 - 15.

In this paper we rst establish global pointwise time-space estimates
of the fundamental solution for Schr odinger equations, where the symbol
of the spatial operator is a real non-degenerate elliptic polynomial. Then
we use such estimates to establish related Lp��Lq estimates on the Schr odinger
solution. These estimates extend known results from the literature and are
sharp. This result was lately already generalized to a degenerate case (cf. [4]).

http://www.asc.tuwien.ac.at/preprint/2011/asc10x2011.pdf