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papers

Publications (5)

math.AP2024

Analysis of a spatio-temporal advection-diffusion model for human behaviors during a catastrophic event

K. Khalil, V. Lanza, D. Manceau +2

In this work, using the theory of first-order macroscopic crowd models, we introduce a compartmental advection-diffusion model, describing the spatio-temporal dynamics of a populat…

math.AP2020

Stepanov pseudo almost periodic functions and applications

K. Khalil, M. KostiÄ, M. Pinto

In this work, we present basic results and applications of Stepanov pseudo almost periodic functions with measures. Using only the continuity assumption, we prove a new composition…

math.FA2020

Multi-dimensional almost periodic type functions and applications

A. ChÃ¡vez, K. Khalil, M. KostiÄ +1

In this paper, we analyze multi-dimensional $(R_{X}, B)$ -almost periodic type functions and multi-dimensional Bohr $B$ -almost periodic type functions…

math.AP2021

$(R, B)$ -Multidimensional-almost automorphic functions with applications to integral and partial differential equations

A. ChÃ¡vez, K. Khalil, M. KostiÄ +1

In this paper, we analyze the classes of $(R, B)$ -multi-almost automorphic functions and asymptotically $(R, B)$ -multi-almost automorphic fu…

math.AP2020

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 $…