Solutions to the polynomial Dirac equations on unbounded domains in Clifford analysis | Zendy

Ku Min | Zendy; Wang Daoshun | Zendy

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Solutions to the polynomial Dirac equations on unbounded domains in Clifford analysis

Author(s) -

Ku Min,

Wang Daoshun

Publication year - 2010

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1368

Subject(s) - mathematics , clifford analysis , infinity , clifford algebra , polynomial , dirac (video compression format) , dirac equation , dirac algebra , representation (politics) , pure mathematics , mathematical analysis , algebra over a field , mathematical physics , dirac operator , law , quantum mechanics , physics , politics , political science , neutrino

In this paper we study polynomial Dirac equation p () f = 0 including ( − λ) f = 0 with complex parameter λ and k f = 0( k ⩾1) as special cases over unbounded subdomains of ℝ n + 1 . Using the Clifford calculus, we obtain the integral representation theorems for solutions to the equations satisfying certain decay conditions at infinity over unbounded subdomains of ℝ n + 1 . Copyright © 2010 John Wiley & Sons, Ltd.

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