Title: Carleman estimates and necessary conditions for the existence of waveguides
Authors: Luca Fanelli, Luis Vega and Luis Escauriaza
Issue: Volume 61 (2012), Issue 1, 15-30
Abstract:
![We study via Carleman estimates the sharpest possible exponential decay for \emph{waveguide} solutions to the Laplace equation
\[
(\partial^2_t + \Delta)u = Vu + W\cdot(\partial_t,\nabla)u
\]
and find a necessary quantitative condition on the exponential decay in the spatial-variable of nonzero waveguide solutions which depends on the size of $V$ and $W$ at infinity.](https://iumj.s3-us-west-2.amazonaws.com/abstracts/4710.png)
Title: Carleman estimates and necessary conditions for the existence of waveguides
Authors: Luca Fanelli, Luis Vega and Luis Escauriaza
Issue: Volume 61 (2012), Issue 1, 15-30
Abstract: