Hilbert Boundary Value Problems with Fermionic Weight in R3

Hilbert Boundary Value Problems with Fermionic Weight in R3

We study the Hilbert boundary value problem with Fermionic weight for the Dirac operator on smooth surfaces of R 3 . We give the solution to the Hilbert boundary value problem on the half space and the unit ball of R 3 , respectively. Then, we present sufficient and necessary conditions for the solv...

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Veröffentlicht in:Advances in applied Clifford algebras 2017, Vol.27 (1), p.87-98
Hauptverfasser: Cerejeiras, P., Kähler, U., Ku, M.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Theoretical
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Zusammenfassung:We study the Hilbert boundary value problem with Fermionic weight for the Dirac operator on smooth surfaces of R 3 . We give the solution to the Hilbert boundary value problem on the half space and the unit ball of R 3 , respectively. Then, we present sufficient and necessary conditions for the solvability of the Hilbert boundary value problem in more general domains with smooth boundary in R 3 .
ISSN:0188-7009
1661-4909
DOI:10.1007/s00006-016-0686-6