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

DOI10.1016/j.amc.2015.08.012zbMath1410.30024OpenAlexW1218362862MaRDI QIDQ668734

Rafael Ávila Ávila, Ricardo Abreu-Blaya, Juan Bory-Reyes

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.08.012

zbMATH Keywords

boundary value problemsClifford analysisfractal geometry

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items (12)

On \((\phi,\psi)\)-inframonogenic functions in Clifford analysis ⋮ Cauchy integral operators involving higher order Lipschitz classes in the poly-analytic function theory ⋮ Boundary value problems for the Lamé-Navier system in fractal domains ⋮ On a Riemann-Hilbert boundary value problem for \((\varphi,\psi)\)-harmonic functions in \(\mathbb{R}^m\) ⋮ On new Milne-type inequalities and applications ⋮ On a Riemann-Hilbert problem for \(\Psi\)-hyperholomorphic functions in \(\mathbb{R}^m\) ⋮ Inframonogenic decomposition of higher‐order Lipschitz functions ⋮ Fractional model for the study of the tuberculosis in Mexico ⋮ On initial value problems of fractal delay equations ⋮ A bimonogenic Cauchy transform on higher order Lipschitz classes ⋮ On the Plemelj-Privalov theorem in Clifford analysis involving higher order Lipschitz classes ⋮ Note on the generalized conformable derivative

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