Reduction procedure for obtaining solutions of the scalar additive Jump problem and Riemann boundary value problem in vectorial Clifford analysis

Carlos Daniel Tamayo Castro; Juan Bory Reyes; Ricardo Abreu Blaya

doi:10.1002/mma.10034

Reduction procedure for obtaining solutions of the scalar additive Jump problem and Riemann boundary value problem in vectorial Clifford analysis

Carlos Daniel Tamayo Castro, Juan Bory Reyes, Ricardo Abreu Blaya

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

Abstract

In this paper, we study existence of solutions to the scalar additive Jump problem and the Riemann boundary value problems in the context of vectorial Clifford analysis on domains with fractal boundaries. A reduction procedure is applied with great effectiveness to find the solution of the problems.

Original language	English
Journal	Mathematical Methods in the Applied Sciences
DOIs	https://doi.org/10.1002/mma.10034
State	Accepted/In press - 2024

Keywords

Cauchy-Riemann and Dirac operators
Clifford analysis
fractal boundaries
Riemann boundary value problem

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10.1002/mma.10034

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title = "Reduction procedure for obtaining solutions of the scalar additive Jump problem and Riemann boundary value problem in vectorial Clifford analysis",

abstract = "In this paper, we study existence of solutions to the scalar additive Jump problem and the Riemann boundary value problems in the context of vectorial Clifford analysis on domains with fractal boundaries. A reduction procedure is applied with great effectiveness to find the solution of the problems.",

keywords = "Cauchy-Riemann and Dirac operators, Clifford analysis, fractal boundaries, Riemann boundary value problem",

author = "{Tamayo Castro}, {Carlos Daniel} and Juan Bory Reyes and Ricardo Abreu Blaya",

note = "Publisher Copyright: {\textcopyright} 2024 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons Ltd.",

year = "2024",

doi = "10.1002/mma.10034",

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journal = "Mathematical Methods in the Applied Sciences",

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T1 - Reduction procedure for obtaining solutions of the scalar additive Jump problem and Riemann boundary value problem in vectorial Clifford analysis

AU - Tamayo Castro, Carlos Daniel

AU - Bory Reyes, Juan

AU - Abreu Blaya, Ricardo

PY - 2024

Y1 - 2024

N2 - In this paper, we study existence of solutions to the scalar additive Jump problem and the Riemann boundary value problems in the context of vectorial Clifford analysis on domains with fractal boundaries. A reduction procedure is applied with great effectiveness to find the solution of the problems.

AB - In this paper, we study existence of solutions to the scalar additive Jump problem and the Riemann boundary value problems in the context of vectorial Clifford analysis on domains with fractal boundaries. A reduction procedure is applied with great effectiveness to find the solution of the problems.

KW - Cauchy-Riemann and Dirac operators

KW - Clifford analysis

KW - fractal boundaries

KW - Riemann boundary value problem

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U2 - 10.1002/mma.10034

DO - 10.1002/mma.10034

M3 - Artículo

AN - SCOPUS:85188658795

SN - 0170-4214

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

ER -

Reduction procedure for obtaining solutions of the scalar additive Jump problem and Riemann boundary value problem in vectorial Clifford analysis

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Keywords

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