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Wave Equation on One-Dimensional Fractals with Spectral Decimation and the Complex Dynamics of Polynomials

Authors:	Ulysses?Andrews,Grigory?Bonik,Joe?P.?Chen,Richard?W.?Martin,Alexander?Teplyaev author-information" > author-information__contact u-icon-before" > mailto:teplyaev@member.ams.org" title=" teplyaev@member.ams.org" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:	1.Department of Mathematics,University of Connecticut,Storrs,USA;2.Mathematics Department,Colgate University,Hamilton,USA;3.Mathematics Department,SUNY Broome Community College,Binghamton,USA

Abstract:	We study the wave equation on one-dimensional self-similar fractal structures that can be analyzed by the spectral decimation method. We develop efficient numerical approximation techniques and also provide uniform estimates obtained by analytical methods.

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