Uncountably many solutions for nonlinear Helmholtz and curl-curl equations with general nonlinearities
Abstract:
We obtain uncountably many solutions of nonlinear Helmholtz and curl-curl equations on the entire space using a fixed point approach. As an auxiliary tool a Limiting Absorption Principle for the curl-curl operator is proved.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsjahr | 2018 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X urn:nbn:de:swb:90-878412 KITopen-ID: 1000087841 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 32 S. |
| Serie | CRC 1173 ; 2018/36 |
| Schlagwörter | nonlinear Helmholtz equations, curl-curl equations, limiting absorption principles, Herglotz waves |