Instabilities in nonlinear Schrödinger equation

• Pathological set with loss of regularity for nonlinear Schrödinger equations.
  With Louise Gassot. Ann. Inst. H. Poincaré C Anal. Non Linéaire 42 (2025), no. 3, pp. 715-753. [article|preprint]
• Norm inflation for nonlinear Schrödinger equations in Fourier-Lebesgue and modulation spaces of negative regularity.
  With Divyang Bhimani. J. Fourier Anal. Appl. 26 (2020), no. 6, 78. [article|preprint]
• Norm-inflation with infinite loss of regularity for periodic NLS equations in negative Sobolev spaces.
  With Thomas Kappeler. Bull. Soc. Math. France 145 (2017), no. 4, 623-642. [article|preprint]
• On the Cauchy problem for Hartree equation in the Wiener algebra.
  With Lounès Mouzaoui. Proc. Amer. Math. Soc. 142 (2014), no. 7, 2469-2482. [article|preprint]
• Geometric optics and instability for NLS and Davey-Stewartson models.
  With Eric Dumas and Christof Sparber. J. Eur. Math. Soc. (JEMS) 14 (2012), no. 6, 1885-1921. [article|preprint]
• Multiphase weakly nonlinear geometric optics for Schrödinger equations.
  With Eric Dumas and Christof Sparber. SIAM J. Math. Anal. 42 (2010), no. 1, 489-518. [article|preprint]
• Loss of regularity for supercritical nonlinear Schrödinger equations.
  With Thomas Alazard. Math. Ann. 343 (2009), no. 2, 397-420. [article|preprint]
• On instability for the cubic nonlinear Schrödinger equation.
  C. R. Math. Acad. Sci. Paris 344 (2007), no. 8, 483-486. [article|preprint]
  
• Geometric optics and instability for semi-classical Schrödinger equations.
  Arch. Ration. Mech. Anal. 183 (2007), no. 3, 525-553. [article|preprint]