ON THE GROWTH RATE OF SOLUTIONS OF QUASILINEAR PARABOLIC INEQUALITY AT BOUNDARY POINTS

摘要

Let L be a linear, uniformly elliptic, second-order operator of nondivergent type with measurable and bounded coefficients and a and K be constants, 0 < α < 1, K > 0. We study the growth rate of solutions of the quasilinear parabolic inequality Lu ? u_t ≥ - (|▽u|~(1+α) + K) at a boundary point.