Let me get this straight. The Laplace equation, which is part of the definition of the concept of a harmonic function, is the partial differential equation $f_{xx}+f_{yy}=0$. Isn't that just a special case of the wave equation $f_{xx}=cf_{yy}$, namely when $c=-1$, and if so, then why does this special case have a name of its own?
2026-05-14 08:42:55.1778748175
Is the Laplace equation a special case of the wave equation?
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