Non-elliptic quadratic forms and semiclassical estimates for non-selfadjoint operators
Analysis of PDEs
2016-07-14 v1
Abstract
We consider a class of pseudodifferential operators with a doubly characteristic point, where the quadratic part of the symbol fails to be elliptic but obeys an averaging assumption. Under suitable additional assumptions, semiclassical resolvent estimates are established, where the modulus of the spectral parameter is allowed to grow slightly more rapidly than the semiclassical parameter.
Keywords
Cite
@article{arxiv.1109.5045,
title = {Non-elliptic quadratic forms and semiclassical estimates for non-selfadjoint operators},
author = {Joe Viola},
journal= {arXiv preprint arXiv:1109.5045},
year = {2016}
}
Comments
41 pages, 1 figure