Resolvent estimates for non-selfadjoint operators with double characteristics

Details Resolvent estimates for non-selfadjoint operators with double characteristics Resolvent estimates for non-selfadjoint operators with double characteristics

2009-10-14

arxiv.org/abs/0910.2511v2

Mathematics

Analysis of PDEs

38 pages. J. London Math. Soc., to appear. Published version may differ

Scientific paper

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.

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