
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.
Geometry, Mathematical analysis, Riemann problem, Quantum mechanics, Other partial differential equations of complex analysis in several variables, Mathematics - Analysis of PDEs, Context (archaeology), Clifford Analysis, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Scalar (mathematics), Boundary value problem, Biology, Clifford analysis, Mathematical Physics, Jump, Applied Mathematics, Physics, Fractional Fourier Transform Analysis, Applications of Clifford algebras to physics, etc., Paleontology, Riemann boundary value problem, Cauchy-Riemann and Dirac operators, Applied mathematics, Quaternionic Analysis and Applications, Clifford algebras, spinors, Mathematics - Classical Analysis and ODEs, Physical Sciences, Reduction (mathematics), p-adic Models in Mathematical Physics, fractal boundaries, Mathematics, Analysis of PDEs (math.AP), Primary: 30G35, 28A80, Secondary: 30G30, 30E25, Riemann hypothesis
Geometry, Mathematical analysis, Riemann problem, Quantum mechanics, Other partial differential equations of complex analysis in several variables, Mathematics - Analysis of PDEs, Context (archaeology), Clifford Analysis, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Scalar (mathematics), Boundary value problem, Biology, Clifford analysis, Mathematical Physics, Jump, Applied Mathematics, Physics, Fractional Fourier Transform Analysis, Applications of Clifford algebras to physics, etc., Paleontology, Riemann boundary value problem, Cauchy-Riemann and Dirac operators, Applied mathematics, Quaternionic Analysis and Applications, Clifford algebras, spinors, Mathematics - Classical Analysis and ODEs, Physical Sciences, Reduction (mathematics), p-adic Models in Mathematical Physics, fractal boundaries, Mathematics, Analysis of PDEs (math.AP), Primary: 30G35, 28A80, Secondary: 30G30, 30E25, Riemann hypothesis
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