SOLUTION OF BOUNDARY PROBLEMS FOR A TWO-DIMENSIONAL ELLIPTIC OPERATOR-DIFFERENTIAL EQUATION IN AN ABSTRACT HILBERT SPACE USING THE METHOD OF BOUNDARY INTEGRAL EQUATIONS

DOI10.17223/19988621/60/2zbMath1501.35226OpenAlexW2973112693MaRDI QIDQ5046334

D. Yu. Ivanov

Publication date: 28 October 2022

Published in: Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtgu719

zbMATH Keywords

existencesemilinear equation with Laplacianfunctions with values in Hilbert space

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (1)

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Cites Work

• Solution of two-dimensional boundary value problems corresponding to initial-boundary value problems of diffusion on a right cylinder
• Maximal regular abstract elliptic equations and applications
• Validation of a numerical algorithm for solving inverse boundary value problems for heat equation that takes into account the semigroup symmetry
• Singular degenerate boundary value problems and applications
• Moscow State Academy of Water Transport, Moscow, Russian Federation
• Regularity properties of nonlinear abstract Schrödinger equations and applications
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