HEAT KERNELS AND MAXIMAL Lp Lq ESTIMATES FOR PARABOLIC EVOLUTION EQUATIONS
نویسنده
چکیده
Let A be the generator of an analytic semigroup T on L 2 ((), where is a homogeneous space with doubling property. We prove maximal L p ? L q a-priori estimates for the solution of the parabolic evolution equation u 0 (t) = Au(t) + f(t); u(0) = 0 provided T may be represented by a heat-kernel satisfying certain bounds (and in particular a Gaussian bound).
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تاریخ انتشار 1996