Eigenvalues and subelliptic estimates for non-selfadjoint semiclassical operators with double characteristics
Eigenvalues and subelliptic estimates for non-selfadjoint semiclassical operators with double characteristics
For a class of non-selfadjoint h–pseudodifferential operators with double characteristics, we give a precise description of the spectrum and establish accurate semiclassical resolvent estimates in a neighborhood of the origin. Specifically, assuming that the quadratic approximations of the principal symbol of the operator along the double characteristics enjoy a partial …