Université de Lille

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20022015

most citedOptical Rogue Waves in integrable turbulence

201 citations

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math.AP2015★ 6 cited

Classification of minimal mass blow-up solutions for an $L^{2}$ critical inhomogeneous NLS

Vianney Combet, François Genoud

We establish the classification of minimal mass blow-up solutions of the $L^{2}$ critical inhomogeneous nonlinear Schrödinger equation \[ i\partial_t u + Δu + |x|^{-b}|u|^{\frac{4-2b…

math.AP2015

Strongly regular multi-level solutions of singularly perturbed linear partial differential equations

Alberto Lastra, Stéphane Malek, Javier Sanz

We study the asymptotic behavior of the solutions related to a family of singularly perturbed partial differential equations in the complex domain. The analytic solutions are asymp…

math.AP2015

On parametric multisummable formal solutions to some nonlinear initial value Cauchy problems

Alberto Lastra, Stephane Malek

We study a nonlinear initial value Cauchy problem depending upon a complex perturbation parameter $ε$ whose coefficients depend holomorphically on $(ε, t)$ near the origin in $\math…

Classification of minimal mass blow-up solutions for an L2 critical inhomogeneous NLS

Strongly regular multi-level solutions of singularly perturbed linear partial differential equations

On parametric multisummable formal solutions to some nonlinear initial value Cauchy problems

Classification of minimal mass blow-up solutions for an $L^{2}$ critical inhomogeneous NLS