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arXiv:0910.2511 [math.AP]AbstractReferencesReviewsResources

Resolvent estimates for non-selfadjoint operators with double characteristics

Joe Viola

Published 2009-10-14, updated 2011-09-23Version 2

We study resolvent estimates for non-selfadjoint semiclassical pseudodifferential operators with double characteristics. Assuming that the quadratic approximation along the double characteristics is elliptic, we obtain polynomial upper bounds on the resolvent in a suitable region inside the pseudospectrum.

Comments: 38 pages. J. London Math. Soc., to appear. Published version may differ
Journal: J. London Math. Soc. (2012) 85 (1): 41-78
Categories: math.AP, math.SP
Subjects: 47A10, 35P15
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