Semi-classical estimates for the resolvent in nontrapping geometries
N Burq - International Mathematics Research Notices, 2002 - academic.oup.com
International Mathematics Research Notices, 2002•academic.oup.com
The purpose of this note is to present a very natural and simple method to prove (for
nontrapping geometries) the existence of resonance-free regions and to give estimates for
the resolvent in these regions. The method is valid in any dimensions of space and does not
rely on Lax and Phillips theory.
nontrapping geometries) the existence of resonance-free regions and to give estimates for
the resolvent in these regions. The method is valid in any dimensions of space and does not
rely on Lax and Phillips theory.
Abstract
The purpose of this note is to present a very natural and simple method to prove (for nontrapping geometries) the existence of resonance-free regions and to give estimates for the resolvent in these regions. The method is valid in any dimensions of space and does not rely on Lax and Phillips theory.
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