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arXiv · 1105.2953

A priori estimates for the Helmholtz equation with electromagnetic potentials in exterior domains

Juan Antonio Barceló·Luca Fanelli·Alberto Ruiz·Maricruz Vilela
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Abstract

We study the Helmholtz equation with electromagnetic-type perturbations, in the exterior of a domain, in dimension $n\geq3$. We prove, by multiplier techniques in the sense of Morawetz, a family of a priori estimates from which the limiting absorption principle follows. Moreover, we give some standard applications to the absence of embedded eigenvalues and zero-resonances, under explicit conditions on the potentials.

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Juan Antonio Barceló, Luca Fanelli, Alberto Ruiz, Maricruz Vilela. 2011-05-15. A priori estimates for the Helmholtz equation with electromagnetic potentials in exterior domains. https://arxiv.org/abs/1105.2953

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