Boundary Behavior of Solutions of Parabolic Equations
نویسنده
چکیده
A boundary backward Harnack inequality is proved for positive solutions of second order parabolic equations in non-divergence form in a bounded cylinder Q = (0; T) which vanish on @ x Q = @ (0; T) ; where is a bounded Lipschitz domain in R n. This inequality is applied to the proof of the HH older continuity of the quotient of two positive solutions vanishing on a portion of @ x Q: 1. Introduction In this paper we are concerned with the boundary behavior of positive solutions u and v of the parabolic non-divergence equation
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تاریخ انتشار 2007