Estimates on the Fundamental Solution to Heat Flows With Uniformly Elliptic Coefficients
James R. Norris, Daniel W. Stroock · Proceedings of the London Mathematical Society · 1991
We obtain estimates, from above and below, on the fundamental solution to the Cauchy initial value problem for parabolic equations having uniformly elliptic coefficients. We impose minimal regularity requirements on the coefficients. The estimates are expressed in terms of an energy functional associated with the coefficients.