Year: 2025
Author: Qingquan Deng, Xuejian Meng
Annals of Applied Mathematics, Vol. 41 (2025), Iss. 1 : pp. 77–111
Abstract
This paper studies the $H^p-H^q$ estimates of a class of oscillatory
integrals related to dispersive equations
under the assumption that the level hypersurfaces are convex and of finite type.
As applications, we obtain the decay estimates for the solutions of higher order
homogeneous and inhomogeneous Schrödinger equations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aam.OA-2025-0001
Annals of Applied Mathematics, Vol. 41 (2025), Iss. 1 : pp. 77–111
Published online: 2025-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 35
Keywords: Dispersive equations $H^p-H^q$ estimates finite type geometry decay estimates.