34 citations · 76 across the 37 of their papers we have counts for
45 papers
Optimal control via chemotactic sensitivity of a logistic Keller-Segel model
Yacouba Simpore, Mahamadi Warma, Luis P. Yapu
We study an optimal control problem for a two-equations Keller-Segel system on a bounded domain with Neumann boundary conditions, where the chemotactic sensitivity is modulated by…
Reconstruction algorithms for the fractional Laplacian and applications to inverse problems
Ethan Rinaldo, Mahamadi Warma
We introduce two reconstruction schemes that enable the recovery of a function in the entire Euclidean space from local data , where is an…
A unified view of nonlinear, nonlocal operators and qualitative properties of associated elliptic and parabolic problems
Ralph Chill, Mahamadi Warma
We put together a general framework to deal with elliptic and parabolic equations associated with (nonlinear) nonlocal (fractional order) operators. Many well-known nonlocal operat…
Superdiffusive fractional dynamics: Unveiling regularity results in systems with general positive self-adjoint operators
Edgardo Alvarez, Ciprian G. Gal, Valentin Keyantuo +1
We investigate the following fractional order in time Cauchy problem \begin{equation*} \begin{cases} \mathbb{D}_{t}^{α}u(t)+Au(t)=f(u(t)), & 1<α<2, \\ u(0)=u_{0},\,\,\,u^{\prime }(…
Boundary observation and control for fractional heat and wave equations
Umberto Biccari, Mahamadi Warma, Enrique Zuazua
We establish boundary null controllability of the heat equation driven by the integral fractional Laplacian on a bounded smooth domain for every and every fractional…
Exterior Nonlocal Variational Inequalities
Harbir Antil, Madeline O. Horton, Mahamadi Warma
This paper introduces a new class of variational inequalities where the obstacle is placed in the exterior domain that is disjoint from the observation domain. This is carried out…