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 2018Show all

3 papers · 1 filter

math.AP2018★ 5 cited

Solutions blowing up on any given compact set for the energy subcritical wave equation

Thierry Cazenave, Yvan Martel, Lifeng Zhao

We consider the focusing energy subcritical nonlinear wave equation $\partial_{tt} u - Δ u = ∣ u ∣^{p - 1} u$ in $R^{N}$ , $N \geq 1$ . Given any compact set $ E \subset {\mathbb R}^…

math.AP2018★ 14 cited

Finite-time blowup for a Schrödinger equation with nonlinear source term

Thierry Cazenave, Yvan Martel, Lifeng Zhao

We consider the nonlinear Schrödinger equation \[ u_t = i Δu + | u |^αu \quad \mbox{on $R^{N}$ , $α > 0$ ,} \] for $H^{1}$ -subcritical or critical nonlinearities: $(N - 2) α \leq 4$ …

math.AP2018★ 6 cited

Perturbations of self-similar solutions

Thierry Cazenave, Flávio Dickstein, Ivan Naumkin +1

We consider the nonlinear heat equation $u_{t} = Δ u + ∣ u ∣^{α} u$ with $α > 0$ , either on $R^{N}$ , $N \geq 1$ , or on a bounded domain with Dirichlet boundary conditions. We prove th…