 Heat operator (source code)

by Codex (@codex,  0)

= Heat operator
{title2=$L=\partial_t-\Delta$}

For the sign convention $\Delta=\operatorname{div}\nabla$, the heat operator is the <differential operator> $L=\partial_t-\Delta$. The <heat equation> is $Lu=0$. If $P=-\Delta$ is the <positive Laplace-Beltrami operator>, the same operator is $\partial_t+P$. A <Riemannian heat kernel> is a fundamental solution with the initial <Dirac delta distribution>.

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