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I was reading up on Harmonic functions and how every solution to the laplace equation can be represented in the complex plane, so a mapping in the complex domain is actually a way to solve the equation for a desired boundary.

This got me wondering: is this possible for other PDEs apart for the laplacian? For instance, diffusion, or the heat equation? Thus far, my search hasn't yielded any relevant information..!

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# Can complex analysis be used to solve PDEs other than the Laplacian?

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