S. Gutierrez and A. de Laire (2021), Self-similar shrinkers of the one-dimensional Landau–Lifshitz–Gilbert equation, Journal of Evolutions Equations 21 (1), 473–501.
S. Gutierrez and A. de Laire (2019), The Cauchy problem for the Landau-Lifshitz-Gilbert equation in BMO and self-similar solutions, Nonlinearity 32 (7), 2522–2563.
J. Bennett, N. Bez, T. C. Flock, S. Gutierrez and M. Iliopoulou (2018), A sharp k-plane Strichartz in-equality for the Schroedinger equation, Transactions of the American Mathematical Society 370, 5617-5633.
J. Bennett, N. Bez, S. Gutierrez and S. Lee (2018), Estimates for the kinetic transport equation in hyperbolic Sobolev spaces, Journal de Mathematiques Pures et Appliquees 114, 1–28.
S. Gutierrez and A. de Laire (2015), Self-similar solutions of the one-dimensional Landau-Lifshitz-Gilbert equation, Nonlinearity, Volume 28, no. 5, (2015), 1307-1350.
J. Bennett, N. Bez, S. Gutierrez and S. Lee (2014), On the Strichartz estimates for the kinetic transport equation, Communications in Partial Differential Equations, Volume 39, no. 10, 1821-1826.
J. Bennett, N. Bez and S. Gutierrez (2014), Transversal multilinear Radon-like transforms: local and global estimates, Revista Matematica Iberoamericana, Volume 29, no. 3, 765-788.
J.A. Barcelo, L. Fanelli, S. Gutierrez, A. Ruiz and M. C. Vilela (2013), Hardy uncertainty principle and unique continuation properties of covariant Schrodinger flows, Journal of Functional Analysis, Volume 264, no. 10, 2386-2415.
S. Gutierrez and L. Vega (2013), On the stability of self-similar solutions of 1D cubic Schrodinger equations, Mathematische Annalen, Volume 356, no. 1, 259-300.
N. Bournaveas and S. Gutierrez (2008), Averages over spheres for kinetic transport equations with velocity derivatives in the right-hand side, SIAM Journal on Mathematical Analysis, SIMA, Volume 40, no. 2, 653-674..
N. Bournaveas, V. Calvez, S. Gutierrez and B. Perthame (2008), Global existence for a kinetic model of chemotaxis via dispersion and Strichartz estimates, Communications in Partial Differential Equations, Volume 33, no. 1, 79-95.
N. Bournaveas and S. Gutierrez (2007), On the regularity of the averages over spheres for kinetic transport equations in hyperbolic Sobolev spaces, Revista Matematica Iberoamericana, Volume 23, no. 2, 481-512.
S. Gutierrez and L. Vega (2004), Self-similar solutions of the localized induction approximation: singularity formation, Nonlinearity, Volume 17, no. 6, 2091-2136.
S. Gutierrez (2004), Non trivial Lq solutions to the Ginzburg-Landau equation, Mathematische Annalen, Volume 328, no. 1&2, 1-25.
S. Gutierrez, J. Rivas and L. Vega (2003), Formation of singularities and self-similar vortex motion under the localized induction approximation, Communications in Partial Differential Equations, Volume 28, no. 5&6, 927-968.
S. Gutierrez (2000), A note on restricted weak-type estimates for Bochner Riesz operators with negative index in Rn, n≥2, Proceedings Amer. Math. Soc., Volume 128, no. 2, 495-501.
View all publications in research portal