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19962026
most citedSelective review of offline change point detection methods

1.4k citations

Showing 2018 · math.APShow all

9 papers · 2 filters

math.AP2018★ 1 cited

Lyapunov-type characterisation of exponential dichotomies with applications to the heat and Klein-Gordon equations

Gong Chen, Jacek Jendrej

We give a sufficient condition for existence of an exponential dichotomy for a general linear dynamical system (not necessarily invertible) in a Banach space, in discrete or contin…

math.AP2018★ 42 cited

Classification of nonnegative solutions to static Schrödinger-Hartree and Schrödinger-Maxwell equations with combined nonlinearities

Wei Dai, Zhao Liu

In this paper, we are concerned with static Schrödinger-Hartree and Schrödinger-Maxwell equations with combined nonlinearities. We derive the explicit forms for positive solution $…

math.AP2018★ 20 cited

Liouville type theorem for critical order Hénon-Lane-Emden type equations on a half space and its applications

Wei Dai, Guolin Qin

In this paper, we are concerned with the critical order Hénon-Lane-Emden type equations with Navier boundary condition on a half space : \begin{equation}\label{NPDE…

math.AP2018★ 52 cited

Liouville type theorems for fractional and higher order Hénon-Hardy type equations via the method of scaling spheres

Wei Dai, Guolin Qin

In this paper, we are concerned with the fractional and higher order Hénon-Hardy type equations \begin{equation*} (-Δ)^{\fracα{2}}u(x)=f(x,u(x)) \,\,\,\,\,\,\,\,\,\,\,\, \text{in}…

math.AP2018★ 6 cited

Perturbations of self-similar solutions

Thierry Cazenave, Flávio Dickstein, Ivan Naumkin +1

We consider the nonlinear heat equation with , either on , , or on a bounded domain with Dirichlet boundary conditions. We prove th…

math.AP2018★ 5 cited

A two-dimensional labile aether through homogenization

Marc Briane, Gilles A. Francfort

Homogenization in linear elliptic problems usually assumes coercivity of the accompanying Dirichlet form. In linear elasticity, coercivity is not ensured through mere (strong) elli…

math.AP2018★ 61 cited

Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions

Philippe Souplet, Michael Winkler

We study the blow-up asymptotics of radially decreasing solutions of the parabolic-elliptic Keller-Segel-Patlak system in space dimensions . In view of the biological backg…

math.AP2018★ 2 cited

On well-posedness and uniqueness for general hierarchy equations of Gross-Pitaevskii and Hartree type

Zied Ammari, Quentin Liard, Clément Rouffort

Gross-Pitaevskii and Hartree hierarchies are infinite systems of coupled PDEs emerging naturally from the mean field theory of Bose gases. Their solutions are known to be related t…

math.AP2018★ 5 cited

The Flux Limited Keller-Segel System; Properties and Derivation from Kinetic Equations

Benoît Perthame, Nicolas Vauchelet, Zhian Wang

The flux limited Keller-Segel (FLKS) system is a macroscopic model describing bacteria motion by chemotaxis which takes into account saturation of the velocity. The hyper-bolic for…