Layered fractal fibers and potentials

DOI10.1016/j.matpur.2014.10.010zbMath1319.35137OpenAlexW2031338546MaRDI QIDQ2345417

Umberto Mosco, Maria Agostina Vivaldi

Publication date: 22 May 2015

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2014.10.010

zbMATH Keywords

variational convergencesingular elliptic operatorsfractal fibers

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10) Fractals (28A80) Singular elliptic equations (35J75)

Related Items

Asymptotic analysis of an elastic material reinforced with thin fractal strips ⋮ Periodic homogenization for quasi-filling fractal layers ⋮ Impulsive motion on synchronized spatial temporal grids ⋮ Fractional equations via convergence of forms ⋮ Graph‐like spaces approximated by discrete graphs and applications ⋮ Asymptotics for quasilinear obstacle problems in bad domains ⋮ Convergence of Laplacians on smooth spaces towards the fractal Sierpiński gasket ⋮ Dynamical Quasi-Filling Fractal Layers ⋮ Singular \(p\)-homogenization for highly conductive fractal layers ⋮ Homogenization of a quasilinear elliptic problem in a fractal-reinforced structure ⋮ Numerical homogenization of fractal interface problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Transparent boundary conditions for the Helmholtz equation in some ramified domains with a fractal boundary
• Fractal reinforcement of elastic membranes
• Asymptotics for mixed Dirichlet-Robin problems in irregular domains
• Boundary behavior of harmonic functions in non-tangentially accessible domains
• Composite media and asymptotic Dirichlet forms
• A transmission problem with a fractal interface.
• Harmonization and homogenization on fractals
• Integrability of Green potentials in fractal domains
• Heat-flow problems across fractal mixtures: regularity results of the solutions and numerical approximation.
• Insulating layers of fractal type.
• Brownian motion on fractals and function spaces
• Singular homogenization for Sierpinski pre-fractals
• Convergence of convex sets and of solutions of variational inequalities
• Thin fractal fibers
• Brownian motion on nested fractals
• Robin boundary value problems on arbitrary domains
• On the Robin problem in fractal domains

This page was built for publication: Layered fractal fibers and potentials