Lord Kelvin's method of images in semigroup theory

DOI10.1007/S00233-010-9230-5zbMath1218.47062OpenAlexW2025085246WikidataQ59341355 ScholiaQ59341355MaRDI QIDQ617847

Adam Bobrowski

Publication date: 14 January 2011

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-010-9230-5

zbMATH Keywords

Bessel processmethod of imagesboundary conditionMcKendrick equationsignaling pathwaysabstract delay differential equationskinase activity

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory to differential and integral equations (47N20) Applications of operator theory in chemistry and life sciences (47N60)

Related Items (10)

Emergence of Freidlin-Wentzell's transmission conditions as a result of a singular perturbation of a semigroup ⋮ Diffusion approximation for a simple kinetic model with asymmetric interface ⋮ Pairs of complementary transmission conditions for Brownian motion ⋮ On moments-preserving cosine families and semigroups in \(C[0, 1\)] ⋮ Semigroup-theoretic approach to diffusion in thin layers separated by semi-permeable membranes ⋮ A general theorem on generation of moments-preserving cosine families by Laplace operators in \(C[0,1\)] ⋮ On the equivalence of solutions for a class of stochastic evolution equations in a Banach space ⋮ Singular perturbations involving fast diffusion ⋮ A semigroup related to a convex combination of boundary conditions obtained as a result of averaging other semigroups ⋮ Functionals-preserving cosine families generated by Laplace operators in \(C[0,1\)]

Cites Work

• Generation of cosine families via Lord Kelvin's method of images
• Generalized method of images in the crack analysis
• Regulation of kinase activity by diffusion and feedback
• On Kelvin transformation
• A short course on operator semigroups
• On the Method of Images for Systems of Closely Spaced Conducting Spheres
• One-Parameter Semigroups for Linear Evolution Equations
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