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

Journal of Fourier Analysis and Applications(2016)

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摘要
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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关键词
Wave equation, Fractals, Spectral decimation, Infinite speed of propagation, Time change, Primary 35L05, 42C15, 58J45, Secondary 28A80, 35P10, 35P15, 60J25, 60J45, 81Q35
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