Application of the \(j\)-subgradient in a problem of electropermeabilization

DOI10.1007/BF03377365MaRDI QIDQ1691800

Zakaria Belhachmi, Ralph Chill

Publication date: 25 January 2018

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

Full work available at URL: https://arxiv.org/abs/1412.4158

zbMATH Keywords

Steklov-Poincaré operator\(j\)-subgradientelectropermeabilization

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Finite difference methods for boundary value problems involving PDEs (65N06) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Physiological, cellular and medical topics (92C99)

Related Items (3)

Nonlinear semigroups generated by \(j\)-elliptic functionals ⋮ Maximal \(L^2\)-regularity in nonlinear gradient systems and perturbations of sublinear growth ⋮ The bidomain problem as a gradient system

Uses Software

• FreeFem++
• Ipopt

Cites Work

• Conducting and permeable states of cell membrane submitted to high voltage pulses: mathematical and numerical studies validated by the experiments
• Asymptotic expansion of steady-state potential in a high contrast medium with a thin resistive layer
• ``Classical electropermeabilization modeling at the cell scale
• The Dirichlet-to-Neumann operator via hidden compactness
• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
• Sectorial forms and degenerate differential operators
• New development in freefem++
• Convex analysis and monotone operator theory in Hilbert spaces
• Nonlinear semigroups generated by \(j\)-elliptic functionals
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