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math.AP2011★ 20 cited
Non-elliptic quadratic forms and semiclassical estimates for non-selfadjoint operators
Joe Viola
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 assumptio…
math.SP2011
Resolvent estimates for elliptic quadratic differential operators
Michael Hitrik, Johannes Sjoestrand, Joe Viola
Sharp resolvent bounds for non-selfadjoint semiclassical elliptic quadratic differential operators are established, in the interior of the range of the associated quadratic symbol.