On the Solvability of the Dirichlet Problem for a Multidimensional Elliptic System in the Half-Space

The Dirichlet problem for a multidimensional elliptic system in the half-space is considered. With the help of the Fourier transform, the problem of the solvability of the problem is reduced to the study of a second-order partial differential equation.

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 279; no. 5; pp. 635 - 643
Main Author Golovko, E. A.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 23.03.2024
Springer
Springer Nature B.V
Subjects
Differential equations
Dirichlet problem
Fourier transforms
Half spaces
Mathematics
Mathematics and Statistics
Partial differential equations
Bessel function
multidimensional elliptic system
Dirichlet problem
Fourier transform
half-space
35J57
Online AccessGet full text
ISSN1072-3374
1573-8795
DOI10.1007/s10958-024-07044-w

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Summary:The Dirichlet problem for a multidimensional elliptic system in the half-space is considered. With the help of the Fourier transform, the problem of the solvability of the problem is reduced to the study of a second-order partial differential equation.
Bibliography:ObjectType-Article-1
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ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-024-07044-w