KIT | KIT-Bibliothek | Impressum | Datenschutz
Open Access Logo
§
Volltext
DOI: 10.5445/IR/1000087841
Veröffentlicht am 26.11.2018

Uncountably many solutions for nonlinear Helmholtz and curl-curl equations with general nonlinearities

Mandel, Rainer

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
Jahr 2018
Sprache Englisch
Identifikator ISSN: 2365-662X
URN: urn:nbn:de:swb:90-878412
KITopen ID: 1000087841
Verlag KIT, Karlsruhe
Umfang 32 S.
Serie CRC 1173 ; 2018/36
Schlagworte nonlinear Helmholtz equations, curl-curl equations, limiting absorption principles, Herglotz waves
KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft KITopen Landing Page