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arXiv · 1410.1428

A Simple Proof of the Uniform Convergence of Fourier Series in Solutions to the Wave Equation

Tristram de Piro
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Abstract

Using nonstandard methods, we show that the time dependent Fourier series of any smooth function F, solving the wave equation, on a finite closed interval, with vanishing boundary conditions, converges uniformly to F.

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Tristram de Piro. 2014-09-30. A Simple Proof of the Uniform Convergence of Fourier Series in Solutions to the Wave Equation. https://arxiv.org/abs/1410.1428

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