Université Sorbonne Paris Nord

output

19962026

most citedSelective review of offline change point detection methods

1.4k 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 2019 · math.APShow all

10 papers · 2 filters

math.AP2019★ 11 cited

Gradient blow-up rates and sharp gradient estimates for diffusive Hamilton-Jacobi equations

Amal Attouchi, Philippe Souplet

Consider the diffusive Hamilton-Jacobi equation $u_{t} - Δ u = ∣\nabla u ∣^{p} + h (x) in Ω \times (0, T)$ with Dirichlet conditions, which arises in stochastic control problems as w…

math.AP2019★ 21 cited

Exterior energy bounds for the critical wave equation close to the ground state

Thomas Duyckaerts, Carlos E. Kenig, Frank Merle

By definition, the exterior asymptotic energy of a solution to a wave equation on $R^{1 + N}$ is the sum of the limits as $t \to \pm \infty$ of the energy in the the exterior…

math.AP2019★ 9 cited

Construction of a blow-up solution for a perturbed nonlinear heat equation with a gradient and a non-local term

Bouthaina Abdelhedi, Hatem Zaag

We consider in this paper a perturbation of the standard semilinear heat equation by a term involving the space derivative and a non-local term. We prove the existence of a blow-up…

math.AP2019

On the Hilbert Method in the Kinetic Theory of Multicellular Systems: Hyperbolic Limits and Convergence Proof

Mohamed Khaladi, Nisrine Outada, Nicolas Vauchelet

We consider a system of two kinetic equations modelling a multicellular system : The first equation governs the dynamics of cells, whereas the second kinetic equation governs the d…

math.AP2019★ 1 cited

Kramers-Fokker-Planck operators with homogeneous potentials

Mona Ben Said

In this article we establish a global subelliptic estimate for Kramers-Fokker-Planck operators with homogeneous potentials $V (q)$ under some conditions, involving in particular the…

math.AP2019

Prescribing the center of mass of a multi-soliton solution for a perturbed semilinear wave equation

M. A. Hamza, Hatem Zaag

We construct a finite-time blow-up solution for a class of strongly perturbed semilinear wave equation with an isolated characteristic point in one space dimension. Given any integ…

math.AP2019★ 7 cited

Single-point Gradient Blow-up on the Boundary for Diffusive Hamilton-Jacobi Equation in domains with non-constant curvature

Carlos Esteve

We consider the diffusive Hamilton-Jacobi equation $u_{t} - Δ u = ∣\nabla u ∣^{p}$ in a bounded planar domain with zero Dirichlet boundary condition. It is known that, for $p > 2$ , the sol…

math.AP2019★ 2 cited

From delayed minimization to the harmonic map heat equation

Vuk Milisic

In the context of cell motility modelling and more particularly related to the Filament Based Lamelipodium Model [Manhart et al 2015 & 2017], this work deals with a rigorous mathem…

math.AP2019★ 21 cited

The evolution problem associated with eigenvalues of the Hessian

Pablo Blanc, Carlos Esteve, Julio D. Rossi

In this paper we study the evolution problem \[ \left\lbrace\begin{array}{ll} u_t (x,t)- λ_j(D^2 u(x,t)) = 0, & \text{in } Ω\times (0,+\infty), \\ u(x,t) = g(x,t), & \text{on } \pa…

math.AP2019★ 17 cited

Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains

Wei Dai, Guolin Qin

In this paper, we are mainly concerned with the Dirichlet problems in exterior domains for the following elliptic equations: \begin{equation}\label{GPDE0} (-Δ)^{\fracα{2}}u(x)=f(x,…