Unique Continuation for Quasimodes on Surfaces of Revolution: Rotationally invariant Neighbourhoods
Unique Continuation for Quasimodes on Surfaces of Revolution: Rotationally invariant Neighbourhoods
We introduce the definition of irreducible quasimodes, which are quasimodes with h-wavefront sets living on the smallest invariant sets in phase space. We prove a strong conditional unique continuation estimate for these quasimodes in rotationally invariant neighbourhoods on compact surfaces of revolution. The estimate states that irreducible Laplace quasimodes have …