1 citations · 1 across the 2 of their papers we have counts for
5 papers
Propagation phenomena with nonlocal diffusion in presence of an obstacle
Julien Brasseur, Jérôme Coville
We consider a nonlocal semi-linear parabolic equation on a connected exterior domain of the form , where is a compact "obstacle". Th…
On the role of the range of dispersal in a nonlocal Fisher-KPP equation: an asymptotic analysis
Julien Brasseur
In this paper, we study the asymptotic behavior as of solutions to the nonlocal stationary Fisher-KPP type equation$$ \frac{1}{\varepsilon^m}\i…
A counterexample to the Liouville property of some nonlocal problems
Julien Brasseur, Jérôme Coville
In this paper, we construct a counterexample to the Liouville property of some nonlocal reaction-diffusion equations of the form$$ \int\_{\mathbb{R}^N\setminus K} J(x-y)\,( u(y)-u(…
Liouville type results for a nonlocal obstacle problem
Julien Brasseur, Jérôme Coville, Francois Hamel +1
This paper is concerned with qualitative properties of solutions to nonlocal reaction-diffusion equations of the form$$ \int\_{\mathbb{R}^N\setminus K} J(x-y)\,\big( u(y)-u(x) \big…
On restrictions of Besov functions
Julien Brasseur
In this paper, we study the smoothness of restrictions of Besov functions. It is known that for any with we have $f(\cdot,y)\in B\_{p,q}^s…