On Cauchy problem for Laplace equation

DOI10.13108/2019-11-4-91zbMath1463.47226OpenAlexW3018651433MaRDI QIDQ5137853

F. R. Tursunov, Aknazar B. Khasanov

Publication date: 2 December 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa493

zbMATH Keywords

regularizationCauchy problemill-posed problemsregularized solutionsCarleman functioncontinuation formulae

Mathematics Subject Classification ID

Stability theory for integral equations (45M10) Applications of operator theory to differential and integral equations (47N20) Linear operators and ill-posed problems, regularization (47A52) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (4)

ON CAUCHY PROBLEM SOLUTION FOR A HARMONIC FUNCTION IN A SIMPLY CONNECTED DOMAIN ⋮ Theorems of the Phragmén-Lindelöf type for biharmonic functions ⋮ Unnamed Item ⋮ On the Cauchy problem for the three-dimensional Laplace equation

Cites Work

• Inverse and ill-posed problems. Theory and applications.
• Representation of harmonic functions as potentials and the Cauchy problem
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