Mahamadi Warma

activity

20162024

most citedOptimal control of a class of semilinear fractional elliptic equations

1 citations · 1 across the 6 of their papers we have counts for

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math.AP2024

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…

math.AP2023

Memory approximate controllability properties for higher order Hilfer time fractional evolution equations

Ernes Aragones, Valentin Keyantuo, Mahamadi Warma

In this paper we study the approximate controllability of fractional partial differential equations associated with the so-called Hilfer type time fractional derivative and a non-n…

math.AP2016

Asymptotic behavior and representation of solutions to a Volterra kind of equation with a singular kernel

Rodrigo Ponce, Mahamadi Warma

Let $A$ be a densely defined closed, linear $ω$ -sectorial operator of angle $θ \in [0, \frac{π}{2})$ on a Banach space $X$ for some $ω \in R$ . We give an explicit representation…

math.AP2016

Boundary null controllability for a heat equation with general dynamical boundary condition

Umberto Biccari, Mahamadi Warma

Let $Ω \subset R^{N}$ be a bounded open set with Lipschitz continuous boundary $Γ$ . Let $γ > 0$ , $δ \geq 0$ be real numbers and $β$ a nonnegative measurable function in $L^\infty(Γ…

math.AP2016

Fractional powers of sectorial operators via the Dirichlet-to-Neumann operator

W. Arendt, A. F. M. ter Elst, M. Warma

In the very influential paper \cite{CS07} Caffarelli and Silvestre studied regularity of $(- Δ)^{s}$ , $0 < s < 1$ , by identifying fractional powers with a certain Dirichlet-to-Neumann ope…