Two-dimensional wave equations with fractal boundaries

DOI10.1007/S10114-013-1764-5zbMath1281.35058OpenAlexW3155754798MaRDI QIDQ5891325

Lin Tao Ma, Wei Yi Su

Publication date: 5 December 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-1764-5

zbMATH Keywords

fractal dimensiontwo-dimensional wave equation\(p\)-type derivativefractal boundaryvon Koch type curve

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Fractals (28A80)

Uses Software

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Cites Work

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• The derivatives and integrals of fractional order on \(a\)-adic groups
• Gibbs-Butzer differential operators on locally compact Vilenkin groups
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• 3-adic Cantor function on local fields and its \(p\)-adic derivative
• Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture
• Fourier Analysis on Local Fields. (MN-15)
• Gibbs–butzer derivatives and their applications¹
• Walsh-fourier series and the concept of a derivative^†

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