The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations
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/Preprint |
| Publikationsjahr | 2017 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X urn:nbn:de:swb:90-757560 KITopen-ID: 1000075756 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 35 S. |
| Serie | CRC 1173 ; 2017/26 |
| Schlagwörter | limiting absoprtion principle, Fermi surfaces, periodic elliptic PDEs, Floquet-Bloch theory |