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

Ricardo Abreu Blaya; Rafael Ávila Ávila; Juan Bory Reyes

doi:10.1016/j.amc.2015.08.012

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

Ricardo Abreu Blaya, Rafael Ávila Ávila, Juan Bory Reyes

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

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.

Original language	English
Pages (from-to)	802-808
Number of pages	7
Journal	Applied Mathematics and Computation
Volume	269
DOIs	https://doi.org/10.1016/j.amc.2015.08.012
State	Published - 24 Aug 2015
Externally published	Yes

Keywords

Boundary value problems
Clifford analysis
Fractal geometry

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10.1016/j.amc.2015.08.012

Cite this

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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.",

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AU - Blaya, Ricardo Abreu

AU - Ávila, Rafael Ávila

AU - Reyes, Juan Bory

PY - 2015/8/24

Y1 - 2015/8/24

N2 - 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.

AB - 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.

KW - Boundary value problems

KW - Clifford analysis

KW - Fractal geometry

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U2 - 10.1016/j.amc.2015.08.012

DO - 10.1016/j.amc.2015.08.012

M3 - Artículo

AN - SCOPUS:84939857243

SN - 0096-3003

VL - 269

SP - 802

EP - 808

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

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

Abstract

Keywords

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