Dispersive estimates for principally normal pseudodifferential operators | Zendy

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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

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.

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