Comparison of different definitions of traces for a class of ramified domains with self-similar fractal boundaries

DOI10.1007/s11118-013-9352-yzbMath1306.46032OpenAlexW2171979129MaRDI QIDQ2248978

Thibaut Deheuvels, Nicoletta Tchou, Yves Achdou

Publication date: 27 June 2014

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-013-9352-y

zbMATH Keywords

function spacestrace propertiesdomain with fractal boundaries

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractals (28A80)

Related Items (2)

\(JLip\) versus Sobolev spaces on a class of self-similar fractal foliages ⋮ A Transmission Problem Across a Fractal Self-Similar Interface

Cites Work

• \(JLip\) versus Sobolev spaces on a class of self-similar fractal foliages
• Trace results on domains with self-similar fractal boundaries
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• Continuity properties of potentials
• Wavelets on fractals and Besov spaces
• Haar wavelets of higher order on fractals and regularity of functions.
• Trace Theorems for a Class of Ramified Domains with Self-Similar Fractal Boundaries
• The dual of Besov spaces on fractals
• Eigenvalue Distribution of Elliptic Operators of Second Order with Neumann Boundary Conditions in a Snowflake Domain
• A Whitney extension theorem in \(L^p\) and Besov spaces
• The canopy and shortest path in a self-contacting fractal tree.
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