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Dispersive estimates for principally normal pseudodifferential operators
Author(s) -
Koch Herbert,
Tataru Daniel
Publication year - 2005
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20067
Subject(s) - pseudodifferential operators , continuation , mathematics , class (philosophy) , yield (engineering) , construct (python library) , differential operator , pure mathematics , mathematical analysis , computer science , physics , artificial intelligence , programming language , thermodynamics
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.