C. Tacelli

collaborators

2 papers

math.AP2017

Elliptic operators with unbounded diffusion, drift and potential terms

S. E. Boutiah, F. Gregorio, A. Rhandi +1

We prove that the realization $A_{p}$ in $L^{p} (R^{N}), 1 < p < \infty$ , of the elliptic operator $A = (1 + ∣ x ∣^{α}) Δ + b ∣ x ∣^{α - 1} \frac{x}{∣ x ∣} \cdot \nabla - c ∣ x ∣^{β}$ with domain $D(A_p) =\{…

math.AP2016

Optimal kernel estimates for a Schrödinger type operator

Anna Canale, Cristian Tacelli

In the paper the principal result obtained is the estimate for the heat kernel associated to the Schrödinger type operator $(1 + ∣ x ∣^{α}) Δ - ∣ x ∣^{β}$ \[ k(t,x,y)\leq Ct^{-\fracθ{2}}\frac {…