Dirichlet-Type Problems for Certain Beltrami Equations

J. Bory-Reyes; D. Barseghyan; B. Schneider

doi:10.1007/s00009-021-01760-2

Dirichlet-Type Problems for Certain Beltrami Equations

J. Bory-Reyes, D. Barseghyan, B. Schneider

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

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

Abstract

In this paper, we shall be interested in solving Dirichlet-type problems for solutions of certain classes of Beltrami equations, to be called β- analytic. Orthogonal decomposition of the corresponding Sobolev space as well as the ortho-projections onto the subspaces of theses decompositions are obtained. Analytic representation formulas for the underlying solutions in terms of integral operators are established.

Original language	English
Article number	103
Journal	Mediterranean Journal of Mathematics
Volume	18
Issue number	3
DOIs	https://doi.org/10.1007/s00009-021-01760-2
State	Published - Jun 2021

Keywords

Beltrami equations
Dirichlet-type problems

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10.1007/s00009-021-01760-2

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title = "Dirichlet-Type Problems for Certain Beltrami Equations",

abstract = "In this paper, we shall be interested in solving Dirichlet-type problems for solutions of certain classes of Beltrami equations, to be called β- analytic. Orthogonal decomposition of the corresponding Sobolev space as well as the ortho-projections onto the subspaces of theses decompositions are obtained. Analytic representation formulas for the underlying solutions in terms of integral operators are established.",

keywords = "Beltrami equations, Dirichlet-type problems",

author = "J. Bory-Reyes and D. Barseghyan and B. Schneider",

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AU - Barseghyan, D.

AU - Schneider, B.

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AB - In this paper, we shall be interested in solving Dirichlet-type problems for solutions of certain classes of Beltrami equations, to be called β- analytic. Orthogonal decomposition of the corresponding Sobolev space as well as the ortho-projections onto the subspaces of theses decompositions are obtained. Analytic representation formulas for the underlying solutions in terms of integral operators are established.

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KW - Dirichlet-type problems

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DO - 10.1007/s00009-021-01760-2

M3 - Artículo

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ER -

Dirichlet-Type Problems for Certain Beltrami Equations

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Keywords

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