M. Warma

activity

20112026

most citedExternal optimal control of nonlocal PDEs

34 citations · 76 across the 37 of their papers we have counts for

collaborators

Showing 2016Show all

4 papers · 1 filter

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…

math.AP2016

A note on semilinear fractional elliptic equation: analysis and discretization

Harbir Antil, Johannes Pfefferer, Mahamadi Warma

In this paper we study existence, regularity, and approximation of solution to a fractional semilinear elliptic equation of order $s \in (0, 1)$ . We identify minimal conditions on t…