On the self-conjugateness of differential forms on bounded domains

Ricardo Abreu Blaya; Juan Bory Reyes; Efrén Morales Amaya; José María Sigarreta Almira

doi:10.33044/revuma.v60n1a15

On the self-conjugateness of differential forms on bounded domains

Ricardo Abreu Blaya, Juan Bory Reyes, Efrén Morales Amaya, José María Sigarreta Almira

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

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

Abstract

SupposeΩis a bounded domain in ℝⁿ with boundary Γ and let W be a non-homogeneous differential form harmonic in Ω and Höldercontinuous inΩ ∪ Γ. In this paper we study and obtain some necessary and sufficient conditions for the self-conjugateness of W in terms of its boundary value W|Γ = ω.

Original language	English
Pages (from-to)	247-256
Number of pages	10
Journal	Revista de la Union Matematica Argentina
Volume	60
Issue number	1
DOIs	https://doi.org/10.33044/revuma.v60n1a15
State	Published - 2019

Keywords

Clifford analysis
Self-conjugate differential forms

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AU - Reyes, Juan Bory

AU - Amaya, Efrén Morales

AU - Almira, José María Sigarreta

PY - 2019

Y1 - 2019

N2 - SupposeΩis a bounded domain in ℝn with boundary Γ and let W be a non-homogeneous differential form harmonic in Ω and Höldercontinuous inΩ ∪ Γ. In this paper we study and obtain some necessary and sufficient conditions for the self-conjugateness of W in terms of its boundary value W|Γ = ω.

AB - SupposeΩis a bounded domain in ℝn with boundary Γ and let W be a non-homogeneous differential form harmonic in Ω and Höldercontinuous inΩ ∪ Γ. In this paper we study and obtain some necessary and sufficient conditions for the self-conjugateness of W in terms of its boundary value W|Γ = ω.

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KW - Self-conjugate differential forms

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M3 - Artículo

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On the self-conjugateness of differential forms on bounded domains

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Keywords

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