Stokes' theorem for domains with fractal boundary

DOI10.1016/j.jmaa.2009.01.054zbMath1188.28003OpenAlexW2049596509MaRDI QIDQ1018344

Zheng Gu, Huikun Jiang

Publication date: 19 May 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.2009.01.054

zbMATH Keywords

Green's formulafractal boundaryintegrals of the second kindStokes' Theorem

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Fractals (28A80)

Related Items

Synchronization and coupling of Mandelbrot sets, Homogenization of elastic materials containing self-similar rigid micro-inclusions

Cites Work

• Solutions of the divergence operator on John domains
• Two-dimensional Euler flows in slowly deforming domains
• On non-Newtonian p-fluids. The pseudo-plastic case
• Euler equations with non-homogeneous Navier slip boundary conditions
• The measure theory of random fractals
• Fractal geometry: what is it, and what does it do?
• Mathematical analysis II. Transl. from the 4th Russian edition by Roger Cooke
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