Detecting cavities by electrostatic boundary measurements
Copyright policy )Detecting cavities by electrostatic boundary measurements
Summary: We prove upper and lower bounds on the size of an unknown cavity, or of a perfectly conducting inclusion, in an electrical conductor in terms of boundary measurements of voltage and current. Such bounds, which might be used as a decision tool in quality testing of materials, are obtained by a nontrivial extension of previous results [\textit{G. Alessandrini}, \textit{E. Rosset} and \textit{J. K. Seo}, Proc. Am. Math. Soc. 128, 53-64 (2000; Zbl 0944.35108)] regarding inclusions of finite, nonzero conductivity.
- University of Trieste Italy
- University of Udine Italy
Inverse problems for PDEs, upper and lower bounds on the size of an unknown cavity, boundary measurements of voltage and current, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, INVERSE CONDUCTIVITY PROBLEM; ELLIPTIC EQUATIONS; CAVITIES; SIZE ESTIMATES, Boundary value and inverse problems for harmonic functions in higher dimensions
Inverse problems for PDEs, upper and lower bounds on the size of an unknown cavity, boundary measurements of voltage and current, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, INVERSE CONDUCTIVITY PROBLEM; ELLIPTIC EQUATIONS; CAVITIES; SIZE ESTIMATES, Boundary value and inverse problems for harmonic functions in higher dimensions
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