A uniqueness theorem for determining conductivity from overspecified boundary data

DOI10.1016/0022-247X(88)90112-6zbMath0666.35078MaRDI QIDQ1116384

William Rundell, Michael S. Pilant

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

singular integral equationuniqueunknown coefficientoverspecified boundary condition

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Inverse problems for PDEs (35R30) Integral equations with kernels of Cauchy type (45E05)

Related Items (6)

Identification of the unknown boundary condition in a linear parabolic equation ⋮ Determination of the unknown boundary condition of the inverse parabolic problems via semigroup method ⋮ Identification of the unknown diffusion coefficient in a quasi‐linear parabolic equation by semigroup approach with mixed boundary conditions ⋮ Semigroup approach for identification of the unknown diffusion coefficient in a linear parabolic equation with mixed output data ⋮ Identification of the unknown diffusion coefficient in a linear parabolic equation via semigroup approach ⋮ Multiple undetermined coefficient problems for quasi‐linear parabolic equations

Cites Work

• Unnamed Item
• A global uniqueness theorem for an inverse boundary value problem
• Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation
• Determination of the unknown coefficient \(k(u)\) in the equation \(\nabla\cdot k(u)\nabla u = 0\) from overspecified boundary data
• Determining conductivity by boundary measurements II. Interior results
• Detection of Mines by Electric Measurements
• An Inverse Problem for a Nonlinear Elliptic Differential Equation
• An Inverse Problem for a Nonlinear Diffusion Equation

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