Resolvent estimates for non-selfadjoint operators with double characteristics

Abstract

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.

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

References in corpus (1)

• Pseudospectra of semi-classical (pseudo)differential operators

Cited by in corpus (4)

• Non-elliptic quadratic forms and semiclassical estimates for non-selfadjoint operators
• Dirac brushes (or, the fractional Fourier transform of Dirac combs)
• Semigroup expansions for non-selfadjoint Schrödinger operators
• Semiclassical hypoelliptic estimates with a big loss of derivatives