Approximate solutions to second order parabolic equations. I: Analytic estimates
Approximate solutions to second order parabolic equations. I: Analytic estimates
We establish a new type of local asymptotic formula for the Green’s function Gt(x,y) of a uniformly parabolic linear operator ∂t−L with nonconstant coefficients using dilations and Taylor expansions at a point z=z(x,y) for a function z with bounded derivatives such that z(x,x)=x∊RN. Our method is based on dilation at …