Dispersive estimates for principally normal pseudodifferential operators

Herbert Koch, Daniel Tataru

Type: Article

Publication Date: 2004-11-02

Citations: 183

DOI: https://doi.org/10.1002/cpa.20067

Abstract

Abstract In this article we construct parametrices and obtain dispersive estimates for a large class of principally normal pseudodifferential operators. The main motivation for this comes from unique continuation problems. Such estimates can be used to prove L q Carleman inequalities, which in turn yield unique continuation results for various partial differential operators with rough potentials. © 2004 Wiley Periodicals, Inc.

Locations

Communications on Pure and Applied Mathematics - View
eScholarship (California Digital Library) - View - PDF
arXiv (Cornell University) - View - PDF

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