Heat parametrix (source code)

= Heat parametrix
{title2=$R=(\partial_t+\Delta_x)P$}

An approximate <Riemannian heat kernel> with the correct delta initial limit and a residual extending with enough regularity to time zero. A cutoff Gaussian times transport coefficients supplies a local construction. Increasing the expansion order, or summing the full asymptotic series smoothly, makes the residual regular enough for a <Volterra parametrix correction>.