# Laplace Eigenfunctions and Damped Wave Equation on Product Manifolds

@article{Burq2015LaplaceEA, title={Laplace Eigenfunctions and Damped Wave Equation on Product Manifolds}, author={Nicolas Burq and Claude Zuily}, journal={Applied Mathematics Research Express}, year={2015}, volume={2015}, pages={296-310} }

- The purpose of this article is to study possible concentrations of eigenfunc-tions of Laplace operators (or more generally quasi-modes) on product manifolds. We show that the approach of the first author and Zworski [10, 11] applies (modulo rescalling) and deduce new stabilization results for weakly damped wave equations which extend to product manifolds previous results by Leautaud-Lerner [12] obtained for products of tori.

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