166 citations
- Université de ToursFR468 papers
- Université d'OrléansFR393 papers
- Centre National de la Recherche ScientifiqueFR267 papers
- Laboratoire de Mathématiques et Physique ThéoriqueFR50 papers
- Idiap Research InstituteCH42 papers
- Far Eastern Federal UniversityRU38 papers
- Université de MontréalCA33 papers
- Centre de recherches mathématiquesCA26 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR19 papers
- Sorbonne UniversitéFR19 papers
- West University of TimişoaraRO19 papers
- Kyoto UniversityJP17 papers
7 papers · 2 filters
On the instability of threshold solutions of reaction-diffusion equations, and applications to optimization problems
Grégoire Nadin
The first part of this paper is devoted to the derivation of a technical result, related to the stability of the solution of a reaction-diffusion equation on $(0,…
An optimal spectral inequality for degenerate operators
Rémi Buffe, Kim Dang Phung, Amine Slimani
In this paper we establish a Lebeau-Robbiano spectral inequality for a degenerate one dimensional elliptic operator. Carleman techniques and moment method are combined. Application…
The Cauchy problem associated to the logarithmic Laplacian with an application to the fundamental solution
Huyuan Chen, Laurent Véron
Let $\lnlap$ be the logarithmic Laplacian operator with Fourier symbol , we study the expression of the diffusion kernel which is associated to the equation $$\partial_tu…
Upper bounds for the blow-up time of the 2-D parabolic-elliptic Patlak-Keller-Segel model of chemotaxis
Patrick Maheux
In this paper, we obtain upper bounds for the critical time of the blow-up for the parabolic-elliptic Patlak-Keller-Segel system on the 2D-Euclidean space. No moment conditio…
Peculiarities of Space Dependent Conservation Laws: Inverse Design and Asymptotics
Rinaldo M. Colombo, Vincent Perrollaz, Abraham Sylla
Recently, results regarding the Inverse Design problem for Conservation Laws and Hamilton-Jacobi equations with space-dependent convex fluxes were obtaine. More precisely, characte…
On the Krein-Rutman theorem and beyond
Claudia Fonte Sanchez, Pierre Gabriel, Stéphane Mischler
In this work, we revisit the Krein-Rutman theory for semigroups of positive operators in a Banach lattice framework and we provide some very general, efficient and handy results wi…