Cristian Tacelli

activity

20102024

most citedOn the interpolation of discontinuous functions

1 citations · 2 across the 5 of their papers we have counts for

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3 papers · 1 filter

math.AP2024★ 1 cited

Fourth-order operators with unbounded coefficients

Federica Gregorio, Chiara Spina, Cristian Tacelli

We prove that operators of the form $A = - a (x)^{2} Δ^{2}$ , with $∣ D a (x) ∣ \leq c a (x)^{\frac{1}{2}}$ , generate analytic semigroups in $L^{p} (R^{N})$ for $1 < p \leq \infty$ and in $C_b(\m…

math.AP2017

Kernel estimates for elliptic operators with unbounded diffusion, drift and potential terms

S. E. Boutiah, A. Rhandi, C. Tacelli

In this paper we prove that the heat kernel $k$ associated to the operator $A := (1 + ∣ x ∣^{α}) Δ + b ∣ x ∣^{α - 1} \frac{x}{∣ x ∣} \cdot \nabla - ∣ x ∣^{β}$ satisfies $$ k(t,x,y) \leq c_1e^{λ_0 t+ c_2t^{…

math.AP2014

Schrödinger type operators with unbounded diffusion and potential terms

Anna Canale, Abdelaziz Rhandi, Cristian Tacelli

We prove that the realization $A_{p}$ in $L^{p} (R^{N}), 1 < p < \infty$ , of the Schrödinger type operator $A = (1 + ∣ x ∣^{α}) Δ - ∣ x ∣^{β}$ with domain $D(A_p)=\{u\in W^{2,p}(\mathbb{R}^N): Au\…