A. Rhandi

collaborators

3 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.AP2017

$L^{p}$ -theory for Schrödinger systems

Markus Kunze, Luca Lorenzi, Abdallah Maichine +1

In this article we study for $p \in (1, \infty)$ the $L^{p}$ -realization of the vector-valued Schrödinger operator $L u := div (Q \nabla u) + V u$ . Using a noncommutat…

math.AP2012

New weighted Hardy's inequalities with application to non-existence of global solutions

Daniel Hauer, Abdelaziz Rhandi

In this article, we prove a weighted Hardy inequality for $1 < p < + \infty$ and dimension $d \geq 1$ . If $p > d$ , then we can deduce from our weighted Hardy inequality a Poincaré inequality…

Elliptic operators with unbounded diffusion, drift and potential terms

Lp-theory for Schrödinger systems

New weighted Hardy's inequalities with application to non-existence of global solutions

$L^{p}$ -theory for Schrödinger systems