Asymptotics for mixed Dirichlet-Robin problems in irregular domains

DOI10.1016/j.jmaa.2009.09.042zbMath1179.35106OpenAlexW2046337937MaRDI QIDQ1043522

Raffaela Capitanelli

Publication date: 9 December 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.09.042

zbMATH Keywords

fractalsirregular interfacesmixed Dirichlet-Robin problems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Fractals (28A80)

Related Items

Transmission problems with nonlocal boundary conditions and rough dynamic interfaces, Periodic homogenization for quasi-filling fractal layers, Fractional equations via convergence of forms, Reinforcement problems for variational inequalities on fractal sets, Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes, On the effective interfacial resistance through quasi-filling fractal layers, Singular homogenization for Sierpinski pre-fractals, Uniform weighted estimates on pre-fractal domains, Dirichlet-to-Neumann or Poincaré-Steklov operator on fractals described by \(d\)-sets, Asymptotics for quasilinear obstacle problems in bad domains, Skew Brownian diffusions across Koch interfaces, Insulating layers and Robin problems on Koch mixtures, Short-time heat diffusion in compact domains with discontinuous transmission boundary conditions, Asymptotics for Venttsel' problems for operators in non divergence form in irregular domains, A Transmission Problem Across a Fractal Self-Similar Interface, Venttsel' problems in fractal domains, Optimal Absorption of Acoustic Waves by a Boundary, Dynamical Quasi-Filling Fractal Layers, Singular \(p\)-homogenization for highly conductive fractal layers, Non-Lipschitz Uniform Domain Shape Optimization in Linear Acoustics, Layered fractal fibers and potentials

Cites Work

• Boundary behavior of harmonic functions in non-tangentially accessible domains
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• The trace to the boundary of Sobolev spaces on a snowflake
• A transmission problem with a fractal interface.
• Integrability of Green potentials in fractal domains
• Degree-independent Sobolev extension on locally uniform domains
• Convergence of convex sets and of solutions of variational inequalities
• The dual of Besov spaces on fractals
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item