132 citations
- Institut de Mathématiques de MarseilleFR110 papers
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- Rutgers, The State University of New JerseyUS12 papers
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- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR7 papers
- Institut de Mathématiques de BordeauxFR7 papers
303 papers
Propagation phenomena in KPP-bistable periodic patchy environments
Quentin Griette, François Hamel, Mingmin Zhang +1
This paper first investigates the propagation dynamics of solutions to the Cauchy problem for a one-dimensional reaction-diffusion equation in a spatially periodic environment cons…
Extremal functions and zero sets for the Dirichlet space
Alexander Borichev, Omar El-Fallah, Karim Kellay
We study the zeros of functions in the Dirichlet space. Using extremal functions, we produce a necessary and sufficient condition for a sequence of points in the unit disk to be a…
An atomic criterion for irrationality without quantum computations
Vladimiro Benedetti, Aideen Fay, Jérémy Guéré +2
The birational invariants introduced by Katzarkov-Kontsevich-Pantev-Yu allows one to obtain irrationality results for varieties whose quantum cohomology is well-behaved. We observe…
Imaging through rough interfaces: The shower curtain effect
Cristophe Gomez, Knut Sølna
The quality of an image observed through a scattering layer, such as a shower curtain, depends strongly on the relative position of the scattering layer between the object and the…
Thresholds, fragmentation and symmetrization in parabolic equations
Matthieu Alfaro, Yihong Du, François Hamel +1
This paper is mainly concerned with the large-time dynamics of bounded nonnegative solutions of reaction-diffusion equations on the real line with nonlinearities mainly of the bist…
Inverse scattering in an asymptotically flat multilayer domain
Michel Cristofol, Yves Dermenjian, Hiroshi Isozaki +1
We consider a scattering problem for a wave equation in a multilayer domain $Ω\subset {\bf R}^{n+1}_x = {…