Boundary value problems with higher order Lipschitz boundary data for polymonogenic functions in fractal domains

Ricardo Abreu Blaya, Rafael Ávila Ávila and Juan Bory Reyes

Applied Mathematics and Computation, 2015, vol. 269, issue C, 802-808

Abstract: In this note we consider certain jump problem for poly-monogenic functions in fractal domains with higher order Lipschitz boundary data. This is accomplished by using a higher order Teodorescu operator which replaces the expected surface integral. Also, we give out the uniqueness of solutions basing the work on the method of removable singularities for monogenic functions making use of a Dolzhenko type theorem.

Keywords: Clifford analysis; Boundary value problems; Fractal geometry (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:269:y:2015:i:c:p:802-808

DOI: 10.1016/j.amc.2015.08.012

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