Uniform complex time heat Kernel estimates without Gaussian bounds
Uniform complex time heat Kernel estimates without Gaussian bounds
Abstract The aim of this article is twofold. First, we study the uniform complex time heat kernel estimates of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mrow> <m:mi>e</m:mi> </m:mrow> <m:mrow> <m:mo>−</m:mo> <m:mi>z</m:mi> <m:msup> <m:mrow> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:mo>−</m:mo> <m:mi mathvariant="normal">Δ</m:mi> </m:mrow> <m:mo>)</m:mo> </m:mrow> </m:mrow> <m:mrow> <m:mfrac> <m:mrow> <m:mi>α</m:mi> </m:mrow> <m:mrow> <m:mn>2</m:mn> </m:mrow> </m:mfrac> </m:mrow> …