output
20092025
most citedOn a simple criterion for the existence of a principal eigenfunction of some nonlocal operators

234 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2011 · math.APShow all

7 papers · 2 filters

math.AP2011★ 16 cited

Maximal and minimal spreading speeds for reaction diffusion equations in nonperiodic slowly varying media

Jimmy Garnier, Thomas Giletti, Gregoire Nadin

This paper investigates the asymptotic behavior of the solutions of the Fisher-KPP equation in a heterogeneous medium, associated with…

math.AP2011

Inside dynamics of pulled and pushed fronts

Jimmy Garnier, Thomas Giletti, Francois Hamel +1

We investigate the inside structure of one-dimensional reaction-diffusion traveling fronts. The reaction terms are of the monostable, bistable or ignition types. Assuming that the…

math.AP2011★ 12 cited

Non-Existence of Positive Stationary Solutions for a Class of Semi-Linear PDEs with Random Coefficients

Jerome Coville, Nicolas Dirr, Stephan Luckhaus

We consider a so-called random obstacle model for the motion of a hypersurface through a field of random obstacles, driven by a constant driving field. The resulting semi-linear pa…

math.AP2011★ 234 cited

On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators

Jerome Coville

In this paper we are interested in the existence of a principal eigenfunction of a nonlocal operator which appears in the description of various phenomena ranging from population d…

math.AP2011★ 109 cited

Existence and Uniqueness of Solutions to a Nonlocal Equation with Monostable Nonlinearity

Jerome Coville, Juan Davila, Salome Martinez

Let , , $\int_{\tiny$\mathbb{R}$} J = 1$ and consider the nonlocal diffusion operator . We study the equation $\mathcal…

math.AP2011★ 177 cited

Nonlocal anisotropic dispersal with monostable nonlinearity

Jerome Coville, Juan Davila, Salome Martinez

We study the travelling wave problem J\astu - u - cu' + f (u) = 0 in R, u(-\infty) = 0, u(+\infty) = 1 with an asymmetric kernel J and a monostable nonlinearity. We prove the exist…

math.AP2011

Uniqueness from pointwise observations in a multi-parameter inverse problem

Michel Cristofol, Jimmy Garnier, Francois Hamel +1

In this paper, we prove a uniqueness result in the inverse problem of determining several non-constant coefficients of one-dimensional reaction-diffusion equations. Such reaction-d…