Benoît Grébert

most citedAlmost global existence for some nonlinear Schr{ö}dinger equations on

T^{d}

in low regularity

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math.AP2022★ 2 cited

Almost global existence for some nonlinear Schr{ö}dinger equations on $T^{d}$ in low regularity

Joackim Bernier, Benoît Grébert

We are interested in the long time behavior of solutions of the nonlinear Schr{ö}dinger equation on the $d$ -dimensional torus in low regularity, i.e. for small initial data in the…

math.AP2021

Discrete pseudo-differential operators and applications to numerical schemes

Erwan Faou, Benoît Grébert

We define a class of discrete operators acting on infinite, finite or periodic sequences mimicking the standard properties of pseudo-differential operators. In particular we can de…

Almost global existence for some nonlinear Schr{ö}dinger equations on Td in low regularity

Discrete pseudo-differential operators and applications to numerical schemes

Almost global existence for some nonlinear Schr{ö}dinger equations on $T^{d}$ in low regularity