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

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Showing 2017 · math.APShow all

2 papers · 2 filters

math.AP2017★ 11 cited

Sign-changing self-similar solutions of the nonlinear heat equation with positive initial value

Thierry Cazenave, Flávio Dickstein, Ivan Naumkin +1

We consider the nonlinear heat equation $u_{t} - Δ u = ∣ u ∣^{α} u$ on $R^{N}$ , where $α > 0$ and $N \geq 1$ . We prove that in the range $0 < α < \frac{4}{N - 2}$ , for every $μ > 0$ , there…

math.AP2017★ 50 cited

Modified scattering for the critical nonlinear Schrödinger equation

Thierry Cazenave, Ivan Naumkin

We consider the nonlinear Schrödinger equation $i u_{t} + Δ u = λ ∣ u ∣^{\frac{2}{N}} u$ in all dimensions $N \geq 1$ , where $λ \in C$ and $ℑ λ \leq 0$ . We construct a class of i…