A Comparison Estimate for the Heat Equation with an Application to the Heat Content of the S -Adic Von Koch Snowflake

DOI10.1112/S0024609398004469zbMath0930.35019OpenAlexW2031292645MaRDI QIDQ4265966

Peter B. Gilkey, Michiel van den Berg

Publication date: 9 February 2000

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024609398004469

zbMATH Keywords

short-time asymptotic behaviour

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Brownian motion (60J65) Heat equation (35K05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Fractals (28A80)

Related Items (5)

Asymptotics for the spectral heat function and bounds for integrals of Dirichlet eigenfunctions ⋮ Spectral heat content on a class of fractal sets for subordinate killed Brownian motions ⋮ Fractal zeta functions and complex dimensions of relative fractal drums ⋮ The Sound of Fractal Strings and the Riemann Hypothesis ⋮ An overview of complex fractal dimensions: from fractal strings to fractal drums, and back

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