T. Cazenave

activity

20102020

most citedContinuous dependence for NLS in fractional order spaces

55 citations · 323 across the 21 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.AP2013★ 18 cited

Finite-time blowup for a complex Ginzburg-Landau equation with linear driving

Thierry Cazenave, João Paulo Dias, Mário Figueira

In this paper, we consider the complex Ginzburg--Landau equation $u_{t} = e^{i θ} [Δ u + ∣ u ∣^{α} u] + γ u$ on $R^{N}$ , where $α > 0$ , $γ \in R$ and $- π /2 < θ < π /2$ . By convexity argume…

math.AP2013

Local well-posedness for the $H^{2}$ -critical nonlinear Schrödinger equation

Thierry Cazenave, Daoyuan Fang, Zheng Han

In this paper, we consider the nonlinear Schrödinger equation $i u_{t} + Δ u = λ ∣ u ∣^{\frac{4}{N - 4}} u$ in $R^{N}$ , $N \geq 5$ , with $λ\in \C$. We prove local well-posedness (local existe…

math.AP2013★ 13 cited

Standing waves of the complex Ginzburg-Landau equation

Thierry Cazenave, Flávio Dickstein, Fred B. Weissler

We prove the existence of nontrivial standing wave solutions of the complex Ginzburg-Landau equation $ϕ_{t} = e^{i θ} Δ ϕ + e^{iγ} ∣ ϕ ∣^{α} ϕ$ with periodic boundary conditions. Our result…

Finite-time blowup for a complex Ginzburg-Landau equation with linear driving

Local well-posedness for the H2-critical nonlinear Schrödinger equation

Standing waves of the complex Ginzburg-Landau equation

Local well-posedness for the $H^{2}$ -critical nonlinear Schrödinger equation