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

✍ Scribed by Min Ku; Daoshun Wang

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
173 KB
Volume
34
Category
Article
ISSN
0170-4214

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✦ Synopsis

In this paper we study polynomial Dirac equation p(D)f = 0 including (D-k)f = 0 with complex parameter k and D 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 .

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