The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations

Rainer Mandel

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arXiv · 1710.06332

The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations

Rainer Mandel

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Abstract

We prove an $L^p$-version of the limiting absoprtion principle for a class of periodic elliptic differential operators of second order. The result is applied to the construction of nontrivial solutions of nonlinear Helmholtz equations with periodic coefficient functions.

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Rainer Mandel. 2017-10-17. The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations. https://arxiv.org/abs/1710.06332

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