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The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations (1710.06332v2)
Published 17 Oct 2017 in math.AP
Abstract: We prove an $Lp$-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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