HEAT EQUATIONS BY FOURIER AND POISSON

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  • HEAT EQUATIONS BY FOURIER AND POISSON (Mathematical Aspects and Applications of Nonlinear Wave Phenomena)

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We discuss the historical wave theories including the fluid dynamics, the heat theory, in particular, that of Fourier and Poisson. We think, from the heat theories, we have had the many mathematically fruitful productions of derivatives from the heat theories, such as the trigonometric series, the eigenvalue problems and the rapidly decreasing function.

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