Trace Theorems for a Class of Ramified Domains with Self-Similar Fractal Boundaries

DOI10.1137/090747294zbMath1218.46017OpenAlexW2017574514MaRDI QIDQ2999862

Yves Achdou, Nicoletta Tchou

Publication date: 17 May 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: http://epubs.siam.org/sima/resource/1/sjmaah/v42/i4/p1449_s1

zbMATH Keywords

trace theoremsself-similar fractal boundaryramified bidimensional domains

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractals (28A80)

Related Items (7)

Density and trace results in generalized fractal networks ⋮ Well-Posed PDE and Integral Equation Formulations for Scattering by Fractal Screens ⋮ \(JLip\) versus Sobolev spaces on a class of self-similar fractal foliages ⋮ Long-term behavior of reaction-diffusion equations with nonlocal boundary conditions on rough domains ⋮ Comparison of different definitions of traces for a class of ramified domains with self-similar fractal boundaries ⋮ A Transmission Problem Across a Fractal Self-Similar Interface ⋮ Traces on General Sets in ${R}^n$ for Functions with no Differentiability Requirements

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