Pascal Bégout

most citedNecessary conditions and sufficient conditions for global existence in the nonlinear Schrödinger equation

22 citations · 23 across the 3 of their papers we have counts for

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3 papers

math.AP2012★ 1 cited

Maximum Decay Rate for the Nonlinear Schrödinger Equation

Pascal Bégout

In this paper, we consider global solutions for the following nonlinear Schrödinger equation $i u_{t} + Δ u + λ ∣ u ∣^{α} u = 0,$ in $R^{N},$ with $λ \in R$ and $0 \leq α < \frac{4}{N - 2}$ $(0 \leq α < \infty$ …

math.AP2012

Maximum Decay Rate for Finite-Energy Solutions of Nonlinear Schrödinger Equations

Pascal Bégout

We give explicit time lower bounds in the Lebesgue spaces for all nontrivial solutions of nonlinear Schrödinger equations bounded in the energy space. The result applies for these…

math.AP2012★ 22 cited

Necessary conditions and sufficient conditions for global existence in the nonlinear Schrödinger equation

Pascal Bégout

In this paper, we consider the nonlinear Schrödinger equation with the super critical power of nonlinearity in the attractive case. We give a sufficient condition and a necessary c…