Exponential asymptotic stability for an elliptic equation with memory arising in electrical conduction in biological tissues

DOI10.1017/S0956792509990052zbMath1188.35191OpenAlexW2040230976WikidataQ113857459 ScholiaQ113857459MaRDI QIDQ3639948

Micol Amar, Roberto Gianni, Paolo Bisegna, Daniele Andreucci

Publication date: 26 October 2009

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792509990052

zbMATH Keywords

electrical conduction in biological tissueselliptic equations with memory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Biological applications of optics and electromagnetic theory (78A70) Biomedical imaging and signal processing (92C55) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (11)

Buckling of an elastic hemispherical shell with an obstacle ⋮ Error estimate for a homogenization problem involving the Laplace-Beltrami operator ⋮ Laplace-Beltrami operator for the heat conduction in polymer coating of electronic devices ⋮ Concentration and homogenization in electrical conduction in heterogeneous media involving the Laplace-Beltrami operator ⋮ Fractional evolution equation with Cauchy data in \(L^p\) spaces ⋮ Exponential decay for a nonlinear model for electrical conduction in biological tissues ⋮ On the sodium concentration diffusion with three-dimensional extracellular stimulation ⋮ Asymptotic decay under nonlinear and noncoercive dissipative effects for electrical conduction in biological tissues ⋮ Size estimates for the EIT problem with one measurement: the complex case ⋮ Lipschitz Stability for the Electrical Impedance Tomography Problem: The Complex Case ⋮ A degenerate pseudo-parabolic equation with memory

Cites Work

• Unnamed Item
• Viscoelastic relaxation functions compatible with thermodynamics
• Avere una memoria tenace crea gravi problemi
• Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
• Constitutive equations and quasi-static problem in linear thermoviscoelasticity
• An elliptic equation with history
• Existence and uniqueness for an elliptic problem with evolution arising in electrodynamics
• Asymptotic behavior for a viscoelastic problem with not necessarily decreasing kernel
• Homogenization for heat transfer in polycrystals with interfacial resistances
• ON EXPONENTIAL ASYMPTOTIC STABILITY IN LINEAR VISCOELASTICITY
• EVOLUTION AND MEMORY EFFECTS IN THE HOMOGENIZATION LIMIT FOR ELECTRICAL CONDUCTION IN BIOLOGICAL TISSUES
• Electrical impedance tomography
• On a hierarchy of models for electrical conduction in biological tissues

This page was built for publication: Exponential asymptotic stability for an elliptic equation with memory arising in electrical conduction in biological tissues