Optimal recovery of the solution to the Dirichlet problem in the half-plane

DOI10.1134/s0037446623030011zbMath1518.35244OpenAlexW4377990846MaRDI QIDQ6101499

E. O. Sivkova, E. V. Abramova

Publication date: 1 June 2023

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446623030011

zbMATH Keywords

Dirichlet problemexistenceLaplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• On optimal harmonic synthesis from inaccurate spectral data
• Optimal recovery methods for solutions of the Dirichlet problem that are exact on subspaces of spherical harmonics
• Optimal reconstruction of the solution of the Dirichlet problem from inaccurate input data
• Optimal recovery of functions and their derivatives from inaccurate information about the spectrum and inequalities for derivatives
• Best recovery of the solution of the Dirichlet problem in a half-space from inaccurate data
• Optimal recovery of the solution of the heat equation from inaccurate data
• Optimal Estimation of Linear Operators in Hilbert Spaces from Inaccurate Data
• OPTIMAL RECOVERY OF SEMI-GROUP OPERATORS FROM INACCURATE DATA
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