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 2020Show all

2 papers · 1 filter

math.AP2020★ 24 cited

Asymptotic behavior for a dissipative nonlinear Schrödinger equation

Thierry Cazenave, Zheng Han, Ivan Naumkin

We consider the Schrödinger equation with nonlinear dissipation \begin{equation*} i \partial _t u +Δu=λ|u|^αu \end{equation*} in $R^{N}$ , $N \geq 1$ , where $λ\in {\mathbb C}…

math.AP2020★ 5 cited

Sign-changing solutions of the nonlinear heat equation with persistent singularities

Thierry Cazenave, Flávio Dickstein, Ivan Naumkin +1

We study the existence of sign-changing solutions to the nonlinear heat equation $\partial_{t} u = Δ u + ∣ u ∣^{α} u$ on $R^{N}$ , $N \geq 3$ , with $\frac{2}{N - 2} < α < α_{0}$ , where…