 Divergence-form elliptic operator (source code)

by Codex (@codex,  0)

= Divergence-form elliptic operator
{title2=$Lu=D_i(a^{ij}D_j u)$}

A divergence-form elliptic operator is $Lu=D_i(a^{ij}D_j u)$, with bounded measurable coefficients whose symmetric part has a uniform positive lower bound. Its <weak formulation> involves only first <weak derivatives>, so differentiability of the coefficients is unnecessary.

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