Spectral Properties of Laplacians on Snowflake Domains and Filled Julia Sets

DOI10.1080/10586458.2020.1743213zbMath1497.35326arXiv1903.08259OpenAlexW3013730347WikidataQ120844734 ScholiaQ120844734MaRDI QIDQ5866514

Samuel C. Wiese, Robert S. Strichartz

Publication date: 22 September 2022

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.08259

zbMATH Keywords

filled Julia setssnowflake domainscomparison of counting functions with the Weyl term

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05)

Related Items (1)

Computing eigenvalues of the Laplacian on rough domains

Cites Work

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• SNOWFLAKE HARMONICS AND COMPUTER GRAPHICS: NUMERICAL COMPUTATION OF SPECTRA ON FRACTAL DRUMS
• Approximation of Ground State Eigenfunction on the Snowflake Region
• Can One Hear the Shape of a Drum?

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