Higher dimensional transmission problems for Dirac operators on Lipschitz domains

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:478

Article

Hernandez-Herrera, Ariel¹ 

[1] Univ Nacl Autonoma Mexico, Inst Matemat, Area Invest Cient, Ciudad Univ, Mexico City 04510, DF, Mexico

关键词: Transmission boundary value problems;    Lipschitz domains;    Dirac operator;    Maxwell system;    Helmholtz operator;    Clifford analysis;   

DOI  :  10.1016/j.jmaa.2019.05.040

来源: Elsevier

【 摘 要 】

Transmission boundary value problems for the time-harmonic Maxwell system, the Helmholtz operator, and the perturbed Dirac operator are formulated, using Clifford algebras, on bounded Lipschitz domains of 118m with m >= 3. It is shown how the Dirac problem decouples into several Maxwell and Helmholtz problems. Necessary and sufficient conditions are provided for well-posedness in each case, and for the Dirac problem to be equivalent to one or several independent Maxwell problems. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free