A uniqueness theorem for an inverse boundary value problem in electrical prospection | Zendy

Sylvester John | Zendy; Uhlmann Gunther | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

A uniqueness theorem for an inverse boundary value problem in electrical prospection

Author(s) -

Sylvester John,

Uhlmann Gunther

Publication year - 1986

Publication title -

communications on pure and applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.12

H-Index - 115

eISSN - 1097-0312

pISSN - 0010-3640

DOI - 10.1002/cpa.3160390106

Subject(s) - mathematics , uniqueness , mathematical analysis , boundary value problem , operator (biology) , constant (computer programming) , uniqueness theorem for poisson's equation , dirichlet distribution , inverse problem , elliptic boundary value problem , state (computer science) , dirichlet problem , dirichlet boundary condition , inverse , boundary (topology) , mixed boundary condition , geometry , algorithm , biochemistry , chemistry , repressor , computer science , transcription factor , gene , programming language

We show that a near constant conductivity of a two‐dimensional body can be uniquely determined by steady state direct current measurements at the boundary. Mathematically, we show that the coefficient γ in the operator ∇.γ∇ is uniquely determined by its Dirichlet integrals.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research