Unique Continuation for Quasimodes on Surfaces of Revolution : Rotationally Invariant Neighbourhoods

  • Published 2013
We prove a strong conditional unique continuation estimate for irreducible quasimodes in rotationally invariant neighbourhoods on compact surfaces of revolution. The estimate states that Laplace quasimodes which cannot be decomposed as a sum of other quasimodes have L mass bounded below by Cǫλ for any ǫ > 0 on any open rotationally invariant neighbourhood… CONTINUE READING