Carleman estimates and necessary conditions for the existence of waveguides

Luca Fanelli, Luis Vega, Luis Escauriaza

Type: Article

Publication Date: 2012-01-01

Citations: 2

DOI: https://doi.org/10.1512/iumj.2012.61.4710

Abstract

We study via Carleman estimates the sharpest possible exponential decay for waveguide solutions to the Laplace equation, and find a necessary quantitative condition on the exponential decay in the spatial-variable of nonzero waveguides solutions which depends on the size of V and W at infinity.

Locations

Indiana University Mathematics Journal - View
arXiv (Cornell University) - View - PDF

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