The optimal shape of a dendrite sealed at both ends

DOI10.1016/J.ANIHPC.2009.04.004zbMath1188.49045OpenAlexW2127631677MaRDI QIDQ1044391

Yannick Privat

Publication date: 18 December 2009

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/78935

zbMATH Keywords

optimal shapeeigenvalue problemdendritecable equation

Mathematics Subject Classification ID

Neural biology (92C20) General topics in linear spectral theory for PDEs (35P05) Optimization of shapes other than minimal surfaces (49Q10) Variational methods for eigenvalues of operators (49R05)

Related Items (2)

An extremal eigenvalue problem arising in heat conduction ⋮ Shape minimization of dendritic attenuation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Perturbation theory for linear operators.
• Recovering the passive properties of tapered dendrites from single and dual potential record\-ings
• On spectral theory of elliptic operators
• Extremal eigenvalue problems for two-phase conductors
• Shape minimization of dendritic attenuation
• Variation and optimization of formes. A geometric analysis
• Regular eigenvalue problems with eigenvalue parameter in the boundary condition
• Elliptic Partial Differential Equations of Second Order

This page was built for publication: The optimal shape of a dendrite sealed at both ends