On a Dirichlet Problem for One Improperly Elliptic Equation

Babayan, A. H.; Abelyan, Seyran H.

doi:10.1007/978-3-030-26748-3_18

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2023

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“…As for the general questions of the solvability of this problem, numerous studies have been devoted to them. See, for example, A.H. Babayan [30][31][32], V.P. Burskii [33], etc.…”

Section: Discussionmentioning

confidence: 99%

On the Solution of the Dirichlet Problem for Second-Order Elliptic Systems in the Unit Disk

Bagapsh,

Soldatov

2023

Mathematics

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The role played by explicit formulas for solving boundary value problems for elliptic equations and systems is well known. In this paper, explicit formulas for a general solution of the Dirichlet problem for second-order elliptic systems in the unit disk are given. In addition, an iterative method for solving this problem for systems with respect to two unknown functions is described, and an integral representation of the Poisson type is obtained by applying this method.

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“…As for the general questions of the solvability of this problem, numerous studies have been devoted to them. See, for example, A.H. Babayan [30][31][32], V.P. Burskii [33], etc.…”

Section: Discussionmentioning

confidence: 99%

On the Solution of the Dirichlet Problem for Second-Order Elliptic Systems in the Unit Disk

Bagapsh,

Soldatov

2023

Mathematics

View full text Add to dashboard Cite

show abstract

On a Dirichlet Problem for One Improperly Elliptic Equation

Cited by 1 publication

References 12 publications

On the Solution of the Dirichlet Problem for Second-Order Elliptic Systems in the Unit Disk

On the Solution of the Dirichlet Problem for Second-Order Elliptic Systems in the Unit Disk

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