A. Maichine

activity

20172025

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4 papers · 1 filter

math.AP2019

On the $L^{p}$ -theory of vector-valued elliptic operators

K. Khalil, A. Maichine

In this paper, we study vector--valued elliptic operators of the form $L f := div (Q \nabla f) - F \cdot \nabla f + div (C f) - V f$ acting on vector-valued functions $…

math.AP2018

On a polynomial scalar perturbation of a Schrödinger system in $L^{p}$ -spaces

Abdallah Maichine, Abdelaziz Rhandi

In the paper \cite{KLMR} the $L^{p}$ -realization $L_{p}$ of the matrix Schrödinger operator $L u = d i v (Q \nabla u) + V u$ was studied. The generation of a semigroup in $L^p(\R^d,\C^…

math.AP2018

Generation of semigroup for symmetric matrix Schrödinger operators in $L^{p}$ -spaces

Abdallah Maichine

In this paper we establish generation of analytic strongly continuous semigroup in $L^{p}$ --spaces for the symmetric matrix Schrödinger operator $d i v (Q \nabla u) - V u$ , where, for every…

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…

On the Lp-theory of vector-valued elliptic operators

On a polynomial scalar perturbation of a Schrödinger system in Lp-spaces

Generation of semigroup for symmetric matrix Schrödinger operators in Lp-spaces

Lp-theory for Schrödinger systems

On the $L^{p}$ -theory of vector-valued elliptic operators

On a polynomial scalar perturbation of a Schrödinger system in $L^{p}$ -spaces

Generation of semigroup for symmetric matrix Schrödinger operators in $L^{p}$ -spaces

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