Infinite Propagation Speed for Wave Solutions on Some Post-critically Finite Fractals

DOI10.1142/9789811215537_0016zbMath1454.35230OpenAlexW3024183408MaRDI QIDQ5137265

Yin Tat Lee

Publication date: 2 December 2020

Published in: Analysis, Probability and Mathematical Physics on Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789811215537_0016

zbMATH Keywords

sub-Gaussian upper boundsub-Gaussian lower boundwave equation on post-critically finite (p.c.f.) fractals

Mathematics Subject Classification ID

Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Heat kernel (35K08)

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From Strichartz Estimates to Differential Equations on Fractals ⋮ Geometry and Laplacian on discrete magic carpets ⋮ Spectral asymptotics of Laplacians associated with a class of higher-dimensional graph-directed self-similar measures ^*

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