Sobolev Spaces on Non – Smooth Domains and Dirichlet Forms Related to Subordinate Reflecting Diffusions

  title={Sobolev Spaces on Non – Smooth Domains and Dirichlet Forms Related to Subordinate Reflecting Diffusions},
  author={N. Jacob},
Let Ω be a bounded domain with fractal boundary, for instance von Koch’s snowflake domain. First we determine the range and the kernel of the trace on ∂Ω of Sobolev spaces of fractional order defined on Ω. This extends some earlier results of H. Wallin and J. Marschall. Secondly we apply these results in studying Dirichlet forms related to subordinate reflecting diffusions in non– smooth domains. 

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Showing 1-10 of 64 references

The Trace to the Boundary of Sobolev Spaces on a Snowflake

  • H. Wallin
  • Manuscripta Math
  • 1991
Highly Influential
3 Excerpts

The Structure of Functions, Birkhäuser, Basel

  • H. Triebel
  • 2001
2 Excerpts

Approximation by Functions of Compact Support in Besov –Triebel – Lizorkin Spaces on Irregular Domains

  • A. Caetano
  • Studia Math
  • 2000
1 Excerpt

Misure e Integrazione sugli Insiemi Dimesionalmente Orientati , Rend . Accad . Naz

  • R. Cacciopoli
  • 2000

Decompositions of Function Spaces, Progr

  • H. Triebel
  • Nonlinear Differential Equations Appl
  • 1999
1 Excerpt

Some Dirichlet Spaces Obtained by Subordinate Reflected Diffusions

  • N. Jacob, R. L. Schilling
  • Rev. Math. Iberoamericana
  • 1999
2 Excerpts

Decompositions of Symmetric Diffusions and Related Topics in Analysis, Sugaku

  • M. Fukushima
  • 1998
1 Excerpt

Boundary Value Problems and Brownian Motion on Fractals, Chaos, Solitons and Fractals

  • A. Jonsson, H. Wallin
  • 1997

Decomposition of Besov Spaces , Indiana Univ

  • M. Frazier, B. Jawerth
  • Math . J .
  • 1997

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