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Elliptic, parabolic and hyperbolic operators. Laplace, Laplace-Beltrami, Schrödinger, Dirac. Exterior derivative and Lie derivative operators.

1 vote

PDE satisfied by projection of a function onto a subspace

This works (only?) for $p = 2$. Let us denote the solution of the PDE on $\Omega$ by $v$. Then, the variational formulations of the PDEs are $$\int_D \nabla u \cdot \nabla z - fz \,\mathrm{d}x = 0 \q …
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