Resolvent Estimates for Non-Selfadjoint Operators via Semigroups
Resolvent Estimates for Non-Selfadjoint Operators via Semigroups
We consider a non-selfadjoint h-pseudodifferential operator P in the semiclassical limit (h → 0). If p is the leading symbol, then under suitable assumptions about the behavior of p at infinity, we know that the resolvent (z–P)–1 is uniformly bounded for z in any compact set not intersecting the closure …