S. E. Boutiah

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math.AP2019

Some results on second-order elliptic operators with polynomially growing coefficients in $L^{p}$ -spaces

Sallah Eddine Boutiah, Loredana Caso, Federica Gregorio +1

In this paper we study minimal realizations in $L^{p} (R^{N})$ of the second order elliptic operator \begin{equation*} { A_{b,c}} := (1+|x|^α)Δ+ b|x|^{α-2}x\cdot\nabla - c |x|^…

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) =\{…

Some results on second-order elliptic operators with polynomially growing coefficients in Lp-spaces

Elliptic operators with unbounded diffusion, drift and potential terms

Some results on second-order elliptic operators with polynomially growing coefficients in $L^{p}$ -spaces