We give heat kernel estimates on Julia sets J(fc) for quadratic polynomials fc(z) = z^2 + c for c in the main cardioid or the ±1/k·bulbs where k ≥ 2. Firs
In this article, we study the large time behavior of the 3-D isentropic compressible Navier-Stokes equation in the partial space-periodic domains, and simultane