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 2015 · math.APShow all

6 papers · 2 filters

math.AP2015★ 3 cited

Invariance of Gibbs measures under the flows of Hamiltonian equations on the real line

Anne-Sophie de Suzzoni, Federico Cacciafesta

We prove that the Gibbs measures $ρ$ for a class of Hamiltonian equations written $\partial_{t} u = J (- △ u + V^{'} (∣ u ∣^{2}) u)$ on the real line are invariant under the flow of th…

math.AP2015

A Liouville-type theorem for the $3$ -dimensional parabolic Gross-Pitaevskii and related systems

Quoc Hung Phan, Philippe Souplet

We prove a Liouville-type theorem for semilinear parabolic systems of the form $\partial_{t} u_{i} - Δ u_{i} = j = 1 \sum m β_{ij} u_{i}^{r} u_{j}^{r + 1}, i = 1, 2, ..., m$ in the whole space…

math.AP2015★ 2 cited

On Gibbs measure and weak flow for the cubic NLS with non-localised initial data

Federico Cacciafesta, Anne-Sophie de Suzzoni

In this paper we prove the existence of an invariant measure for the cubic NLS $i \partial_{t} u + △ u - ∣ u ∣^{2} u = 0$ on the real line in the sense that we prove the ex…

math.AP2015★ 10 cited

A Fujita-type blowup result and low energy scattering for a nonlinear Schrö\-din\-ger equation

Thierry Cazenave, Simão Correia, Flávio Dickstein +1

In this paper we consider the nonlinear Schrö\-din\-ger equation $i u_{t} + Δ u + κ ∣ u ∣^{α} u = 0$ . We prove that if $α < \frac{2}{N}$ and $ℑ κ < 0$ , then every nontrivial $H^{1}$ -solution blow…

math.AP2015★ 6 cited

Global existence for solutions of the focusing wave equation with the compactness property

Thomas Duyckaerts, Carlos Kenig, Frank Merle

We prove that every solution of the focusing energy-critical wave equation with the compactness property is global. We also give similar results for supercritical wave and Schrödin…

math.AP2015★ 4 cited

Non-regularity in Hölder and Sobolev spaces of solutions to the semilinear heat and Schrödinger equations

Thierry Cazenave, Flávio Dickstein, Fred B. Weissler

In this paper we study the Cauchy problem for the semilinear heat and Schrödinger equations, with the nonlinear term $f (u) = λ ∣ u ∣^{α} u$ . We show that low regularity of $f$ (i.e.,…