On an ill-posed problem for a biharmonic equation

DOI10.2298/FIL1704051KzbMath1488.35608OpenAlexW2594510271MaRDI QIDQ5006808

Tynysbek Sh. Kal'menov, Ulzada A. Iskakova

Publication date: 17 August 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1704051k

zbMATH Keywords

biharmonic equationboundary value problemmethod of spectral decomposition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Ill-posed problems for PDEs (35R25)

Related Items (7)

A filter method with a priori and a posteriori parameter choice for the regularization of Cauchy problems for biharmonic equations ⋮ An iterative regularizing method for an incomplete boundary data problem for the biharmonic equation ⋮ Regularized solution of an ill-posed biharmonic equation ⋮ On a criterion for the solvability of one ill-posed problem for the biharmonic equation ⋮ Regularized solution of the Cauchy problem for the biharmonic equation ⋮ Regularization of an initial inverse problem for a biharmonic equation ⋮ Modified nonlocal boundary value problem method for an ill-posed problem for the biharmonic equation

Cites Work

• A method for solving the Cauchy problem for the Laplace equation
• The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation
• A criterion for the strong solvability of the mixed Cauchy problem for the Laplace equation
• The method of fundamental solutions for a biharmonic inverse boundary determination problem
• Ill-posed internal boundary value problems for the biharmonic equation
• Regularized solutions with a singular point for the inverse biharmonic boundary value problem by the method of fundamental solutions
• Inverse identification of time-harmonic loads acting on thin plates using approximated Green’s functions
• THE METHOD OF FUNDAMENTAL SOLUTIONS FOR AN INVERSE INTERNAL BOUNDARY VALUE PROBLEM FOR THE BIHARMONIC EQUATION
• A survey of applications of the MFS to inverse problems
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