Large time asymptotics for fundamental solutions of diffusion equations
Minoru Murata · Tohoku Mathematical Journal · 1985
Jowhere e tA f(x) = ^U(t, x, y)f{y)dy, C o = ^U0 (y)f(y)dy, and for some δ > 0where 7 is Euler's constant and log^| z=1 = 0.Here and everywhere else the convention is: Σm=i a m = 0 when fe < j.The following lemma can be shown by usual calculations for pseudodifferential operators.(For pseudo-differential operators, see [6].)