A transmission problem with a fractal interface.
From MaRDI portal
Publication:1607602
DOI10.4171/ZAA/1067zbMath1136.31310MaRDI QIDQ1607602
Publication date: 12 August 2002
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Dirichlet forms (31C25) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Variational methods for second-order elliptic equations (35J20) Variational methods applied to problems in optics and electromagnetic theory (78M30)
Related Items (35)
Dirichlet boundary valued problems for linear and nonlinear wave equations on arbitrary and fractal domains ⋮ Transmission problems with nonlocal boundary conditions and rough dynamic interfaces ⋮ Transparent boundary conditions for the Helmholtz equation in some ramified domains with a fractal boundary ⋮ Fractal snowflake domain diffusion with boundary and interior drifts ⋮ Transmission problems for the fractional \(p\)-Laplacian across fractal interfaces ⋮ Quasi-filling fractal layers ⋮ Semilinear evolution transmission problems across fractal layers ⋮ Numerical approximation of transmission problems across Koch-type highly conductive layers ⋮ Homogenization of elastic materials containing self-similar rigid micro-inclusions ⋮ Semilinear evolution problems with Ventcel-type conditions on fractal boundaries ⋮ Singular homogenization for Sierpinski pre-fractals ⋮ Trace results on domains with self-similar fractal boundaries ⋮ \(JLip\) versus Sobolev spaces on a class of self-similar fractal foliages ⋮ Homogenization for conductive thin layers of pre-fractal type ⋮ Dirichlet-to-Neumann or Poincaré-Steklov operator on fractals described by \(d\)-sets ⋮ Interfacial contact model in a dense network of elastic materials ⋮ Convergence of fractional diffusion processes in extension domains ⋮ On the existence of optimal shapes in architecture ⋮ Long-term behavior of reaction-diffusion equations with nonlocal boundary conditions on rough domains ⋮ Transparent boundary conditions for a class of boundary value problems in some ramified domains with a fractal boundary ⋮ 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 ⋮ Venttsel Boundary Value Problems with Discontinuous Data ⋮ Dynamical Quasi-Filling Fractal Layers ⋮ Singular \(p\)-homogenization for highly conductive fractal layers ⋮ Fractal reinforcement of elastic membranes ⋮ Asymptotics for mixed Dirichlet-Robin problems in irregular domains ⋮ Diffusion and propagation problems in some ramified domains with a fractal boundary ⋮ Non-Lipschitz Uniform Domain Shape Optimization in Linear Acoustics ⋮ Layered fractal fibers and potentials ⋮ Numerical homogenization of fractal interface problems ⋮ Mixed boundary valued problems for linear and nonlinear wave equations in domains with fractal boundaries
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Espaces de Dirichlet. I: Le cas élémentaire
- On a spectral analysis for the Sierpiński gasket.
- Quasiconformal mappings and extendability of functions in Sobolev spaces
- The trace to the boundary of Sobolev spaces on a snowflake
- Composite media and asymptotic Dirichlet forms
- Dirichlet forms and symmetric Markov processes
- Dirichlet forms and Brownian motion penetrating fractals
- Phénomènes de transmission à travers des couches minces de conductivite elevee
- The inhomogeneous Dirichlet problem in Lipschitz domains
- Brownian motion on fractals and function spaces
- Harmonic Calculus on P.C.F. Self-Similar Sets
- Brownian motion on nested fractals
- Besov Spaces on Closed Subsets of ℝ n
- The dual of Besov spaces on fractals
This page was built for publication: A transmission problem with a fractal interface.
