Reduction Procedure for obtaining solutions of the scalar additive Jump problem and Riemann Boundary Value Problem in vectorial Clifford analysis

2023/12/22 by Carlos Daniel Tamayo Castro, Castro, Carlos Daniel Tamayo, Juan Bory Reyes +3
Mathematics · #28A80 #30E25 #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Primary: 30G35 #Secondary: 30G30 #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2312.14981

openalex publication_date 2023/12/22 · openalex created_date 2023/12/29 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the 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.

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