Talk:Biharmonic equation

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Mathematics rating: Stub Class Low Priority  Field: Algebra

Isn't the biharmonic the Laplacian of the Laplacian? In particular... shouldn't there be crossterms???

Fixed it. -Ryan

Shouldn't it be "Any harmonic function is biharmonic..." rather than "Any biharmonic function is harmonic..."? Consider f(x) = x^3. But then don't harmonic functions only need to be twice differentiable? I guess there's a regularity theorem that says that harmonic functions are automatically infinitely differentiable, so harmonic implies biharmonic.