Remarks on Estimates for the Green Function
نویسندگان
چکیده
Uni6n M a t d t i c a Argentina Vol. 35 1990. Introduction The main purpose of this paper is to give a comprehensive motivation, with most of the key ideas used in the recent work by Garroni and Menaldi [lo], on the construction of the Green function G(z, t, (, r) for an integro-differential initial boundary value problem, when the differential operator is a second-order parabolic operator not in divergence form d DQ(z, t) = x ai(z, t)Tcp(z, t) + ao(z, t) ~ (z 1 t), i r l where atlq and denote the partial derivatives in t, zi and zi,zj, respectively. The boundary operator has only Hiilder continuous coefficients and the integral operator is M.. t) = LW + 7(2, 0, t)-r(z, t) r m t, or^^^
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