On elliptic partial differential equations in bioimpedance

DOI10.1007/s41808-020-00069-7zbMath1442.35080OpenAlexW3021316063MaRDI QIDQ2191087

Ariungerel Jargal, Hyeuknam Kwon, Jin-Keun Seo

Publication date: 23 June 2020

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41808-020-00069-7

zbMATH Keywords

homogenizationMaxwell's equationselliptic partial differential equationelectrical bioimpedance

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Cites Work

• Spectroscopic imaging of a dilute cell suspension
• Effective admittivity of biological tissues as a coefficient of elliptic PDE
• A global uniqueness theorem for an inverse boundary value problem
• Reconstructions from boundary measurements
• Global uniqueness for a two-dimensional inverse boundary value problem
• Recent progress on the factorization method for electrical impedance tomography
• Mathematical model of conductive fabric-based flexible pressure sensor
• Calderón's inverse conductivity problem in the plane
• The Calderón problem with partial data
• Asymptotic analysis of the membrane structure to sensitivity of frequency-difference electrical impedance tomography
• Magnetic Resonance Electrical Impedance Tomography (MREIT)
• Determining conductivity by boundary measurements
• Homogenization and Two-Scale Convergence
• The Theory of Composites
• Elliptic Equations: An Introductory Course

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