Representation of harmonic functions as potentials and the Cauchy problem

DOI10.1134/S0001434608050131zbMath1161.31004MaRDI QIDQ2518029

Yanyan Li

Publication date: 12 January 2009

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

zbMATH Keywords

potentialCauchy problemharmonic functionLaplace equationill-posed problemLyapunov conditionCarleman function

Mathematics Subject Classification ID

Boundary value and inverse problems for harmonic functions in higher dimensions (31B20) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (8)

CARLEMAN'S FORMULA OF A SOLUTIONS OF THE POISSON EQUATION IN BOUNDED DOMAIN ⋮ Unnamed Item ⋮ Cauchy problem for matrix factorizations of the Helmholtz equation in the space R^m ⋮ Unnamed Item ⋮ On Cauchy problem for Laplace equation ⋮ On the asymptotics of solutions of elliptic equations at the ends of non-compact Riemannian manifolds with metrics of a special form ⋮ Unnamed Item ⋮ On the Cauchy problem for the three-dimensional Laplace equation

Cites Work

• Inverse conductivity problem in the infinite slab

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