A higher-order nonlinear Schrödinger equation with variable coefficients X Carvajal, F Linares | 48 | 2003 |

Well-posedness for a higher order nonlinear Schrodinger equation in Sobolev spaces of negative indices X Carvajal arXiv preprint math/0307400, 2003 | 46 | 2003 |

Operators that achieve the norm X Carvajal, W Neves Integral Equations and Operator Theory 72 (2), 179-195, 2012 | 44 | 2012 |

Higher-order Hamiltonian model for unidirectional water waves JL Bona, X Carvajal, M Panthee, M Scialom Journal of Nonlinear Science 28, 543-577, 2018 | 38 | 2018 |

Sharp global well-posedness for a higher order Schrodinger equation X Carvajal Journal of Fourier Analysis and Applications 12, 53-70, 2006 | 34 | 2006 |

Unique continuation property for a higher order nonlinear Schrödinger equation X Carvajal, M Panthee Journal of mathematical analysis and applications 303 (1), 188-207, 2005 | 30 | 2005 |

On the well-posedness for the generalized Ostrovsky, Stepanyams and Tsimring equation X Carvajal, M Scialom Nonlinear Analysis: Theory, Methods & Applications 62 (7), 1277-1287, 2005 | 27 | 2005 |

Operators that attain their minima X Carvajal, W Neves Bulletin of the Brazilian Mathematical Society, New Series 45 (2), 293-312, 2014 | 26 | 2014 |

On the local well-posedness for some systems of coupled KdV equations B Alvarez-Samaniego, X Carvajal Nonlinear Analysis: Theory, Methods & Applications 69 (2), 692-715, 2008 | 19 | 2008 |

Sharp well-posedness for a coupled system of mKdV-type equations X Carvajal, M Panthee Journal of Evolution Equations 19 (4), 1167-1197, 2019 | 16 | 2019 |

On the critical KdV equation with time-oscillating nonlinearity X Carvajal, M Panthee, M Scialom | 14 | 2011 |

Sharp local well-posedness of KdV type equations with dissipative perturbations X Carvajal, M Panthee Quarterly of Applied Mathematics 74 (3), 571-594, 2016 | 12 | 2016 |

Well-posedness for some perturbations of the KdV equation with low regularity data. X Carvajal, M Panthee Electronic Journal of Differential Equations (EJDE)[electronic only] 2008 …, 2008 | 12 | 2008 |

On uniqueness of solution for a nonlinear Schrödinger–Airy equation X Carvajal, M Panthee Nonlinear Analysis: Theory, Methods & Applications 64 (1), 146-158, 2006 | 12 | 2006 |

On sharp global well-posedness and ill-posedness for a fifth-order KdV-BBM type equation X Carvajal, M Panthee Journal of Mathematical Analysis and Applications 479 (1), 688-702, 2019 | 11 | 2019 |

On ill-posedness for the generalized BBM equation X Carvajal, M Panthee Discrete and Continuous Dynamical Systems 34 (11), 4565-4576, 2014 | 11 | 2014 |

Persistence of solutions to higher order nonlinear Schrödinger equation X Carvajal, W Neves Journal of Differential Equations 249 (9), 2214-2236, 2010 | 11 | 2010 |

Well-posedness of KdV type equations X Carvajal, MP Panthee Texas State University. Department of Mathematics, 2012 | 8 | 2012 |

On the well-posedness of higher order viscous Burgers' equations X Carvajal, M Panthee Journal of Mathematical Analysis and Applications 417 (1), 1-22, 2014 | 7 | 2014 |

Comparison between model equations for long waves and blow-up phenomena X Carvajal, M Panthee, M Scialom Journal of Mathematical Analysis and Applications 442 (1), 273-290, 2016 | 6 | 2016 |