The Laplace Equation on the Upper Half Space

We solve the Laplace Equation on the upper half space using the Fourier transform. We use the fact that the Fourier transform of a two tail exponent function is the Poisson kernel. In this way, we derive the Poisson integral formula for a harmonic function on the upper half space.

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Видео The Laplace Equation on the Upper Half Space канала Mike, the Mathematician