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DOI: 10.5445/IR/1000075756

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

Mandel, Rainer

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 coeffcient functions.


Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht
Jahr 2017
Sprache Englisch
Identifikator ISSN: 2365-662X
URN: urn:nbn:de:swb:90-757560
KITopen ID: 1000075756
Verlag KIT, Karlsruhe
Umfang 35 S.
Serie CRC 1173 ; 2017/26
Schlagworte limiting absoprtion principle, Fermi surfaces, periodic elliptic PDEs, Floquet-Bloch theory
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