ESTIMATES OF GREEN'S FUNCTION FOR SECOND-ORDER PARABOLIC EQUATIONS NEAR EDGES. Issue 2 (17th April 2015) - Kozlov, V. A.
Abstract : We consider the first boundary value problem for a second-order parabolic equation with variable coefficients in the domain $K\times \mathbb{R}^{n-m}$, where $K$ is an $m$ -dimensional cone. The main results of the paper are pointwise estimates of the Green's function.