Extending cutoff resolvent estimates via propagation of singularities

Abstract

We use a gluing method developed in joint work with András Vasy to show that polynomially bounded cutoff resolvent estimates at the real axis imply, up to a constant factor, the same estimates in a neighborhood of the real axis.

5 pages

References in corpus (2)

• Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces
• Local smoothing for the Schrödinger equation with a prescribed loss