Heat equation on the arithmetic von Koch snowflake

DOI10.1007/s004400000068zbMath0963.35072OpenAlexW4205719418MaRDI QIDQ1590677

Michiel van den Berg

Publication date: 6 May 2001

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s004400000068

zbMATH Keywords

inhomogeneous renewal equationprobabilistic representation of the solution

Mathematics Subject Classification ID

Brownian motion (60J65) Heat equation (35K05) Fractals (28A80)

Related Items (9)

Fractal snowflake domain diffusion with boundary and interior drifts ⋮ Spectral heat content on a class of fractal sets for subordinate killed Brownian motions ⋮ Extremal geometry of a Brownian porous medium ⋮ Neumann heat content asymptotics with singular initial temperature and singular specific heat ⋮ On the number of Courant-sharp Dirichlet eigenvalues ⋮ Log-periodic asymptotic expansion of the spectral partition function for self-similar sets ⋮ Heat content and Hardy inequality for complete Riemannian manifolds ⋮ Heat content and inradius for regions with a Brownian boundary ⋮ Mixed boundary valued problems for linear and nonlinear wave equations in domains with fractal boundaries

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