Publications
[28] Simão Correia, Filipe Oliveira & Jorge D. Silva, Sharp local well-posedness and nonlinear smoothing for dispersive equations through frequency restricted estimates, 2023, submitted.
[27] Simão Correia, Filipe Oliveira & Jorge D. Silva, Mass-transfer instability of Ground States for Hamiltonian Schrödinger Systems, Journal d’Analyse Mathématique, Vol. 148(2), pp. 681-710, 2022.
[26] Vanessa Barros, Simão Correia & Filipe Oliveira, On the nonlinear Schrödinger equation in spaces of infinite mass and low regularity, Differential and Integral Equations, Vol. 35, pp. 371-392, 2022.
[25] Filipe Oliveira and Ademir Pastor, On a Schrödinger System arizing in nonlinear optics, Analysis and Mathematical Physics, Vol 11(3), pp. 123, 2021.
[24] Ádan Corcho, Simão Correia, Filipe Oliveira & Jorge D. Silva, On a nonlinear Schrödinger arizing in quadratic media, Communications in Mathematical Sciences, Vol. 17, 4, pp. 969-987, 2019
[23] João Paulo Dias, Filipe Oliveira & Hugo Tavares - On a coupled system of a Ginzburg-Landau equation with a quasilinear conservation law, Communications in Contemporany Mathematics, 2019.
[22] Simão Correia & Filipe Oliveira - Scattering theory for the Schrödinger-Debye System - Nonlinearity, Vol. 31, 7 2018.
[21] João Paulo Dias & Filipe Oliveira - On a quasilinear non-local Benney System, Journal of Hyperbolic Differential Equations , Vol 14, pp. 135-156. 2017.
[20] Simão Correia, Filipe Oliveira & Hugo Tavares - S emitrival vs. fully nonlinear ground states in cooperative cubic Schrödinger systems with d>2 equations , Journal of Functional Analysis , Vol. 271, pp 2247-2273, 2016.
[19] Filipe Oliveira & Hugo Tavares - Ground States for a nonlinear Schrödinger system with sublinear coupling terms , Advanced Nonlinear Studies , Vol 16, pp 381-387, 2016.
[18] João Paulo Dias, Mário Figueira & Filipe Oliveira - Existence and linearized stability of solitary waves for a quasilinear Benney system , Proceedings of the Royal Society of Edinburgh, Vol. 146, 547-564, 2016 .
[17] Filipe Oliveira - A note on the existence of traveling-wave solutions to a Boussinesq system , Differential Integral Equations , Vol. 29, pp. 127-136, 2016.
[16] Carlos Banquet, Filipe Oliveira, Jaime Angulo Pava & Jorge Silva - The Regularized Boussinesq equation: Instability of periodic travelling waves , Journal of Differential Equations , Vol. 254, pp 3994-4023, 2013.
[15] Adán Corcho, Filipe Oliveira & Jorge Silva - Local and Global Well-posedness for the Critical Schrödinger-Debye System , Proceedings of the American Mathematical Society , Vol. 141, pp 3485-3499, 2013.
[14] S. Antontsev, João Paulo Dias, Mário Figueira & Filipe Oliveira - Non-existence of global solutions for a quasilinear Benney system , Journal of Mathematical Fluid Mechanics , Vol. 13, pp 81-94, 2011.
[13] João Paulo Dias, Mário Figueira & Filipe Oliveira - On the Cauchy problem describing an electron-phonon interaction , Chinese Annals of Mathematics , Vol. 32, pp 483-496, 2011.
[12] João Paulo Dias, Mário Figueira & Filipe Oliveira - Existence of bound states for the coupled Schrödinger-KdV system with cubic nonlinearity, Comptes Rendus de l' Académie des Sciences , Vol. 348, 1079-1082, 2010.
[11] João Paulo Dias, Mário Figueira & Filipe Oliveira - Well-posedness and existence of bound states for coupled Schrödinger-gKdV system , Nonlinear Analysis T.M.A, , Vol. 73, pp 2686-2698 , 2010.
[10] Gilberto Kremer, Filipe Oliveira & Ana Jacinta Soares - H-theorem and trend to equilibrium of chemically reacting mixtures of gases , Kinetic and Related Models , Vol.2, pp. 333-343, 2009.
[9] Filipe Oliveira & Ana Jacinta Soares - A note on a Discrete Boltzmann Equation with multiple collisions , Journal of Mathematical Analysis and Applications , Vol. 341-2, pp. 1476-1481, 2008.
[8] Filipe Oliveira - Adiabatic limit of the Zakharov-Rubenchik Equation, Reports on Mathematical Physics , Vol. 28-12, pp. 13-27, 2008.
[7] João Paulo Dias, Mário Figueira & Filipe Oliveira - Existence of strong solutions for a quasilinear Benney Equation , Comptes Rendus de l' Académie des Sciences , Vol. 344, pp. 493-496, 2007 .
[6] Filipe Oliveira & Ana Jacinta Soares - A non-trivial explicit solution for the 14-velocity Cabannes kinetic model , Nonlinear Analysis T.M.A. 67, pp. 1167-1172, 2007.
[5] Filipe Oliveira & Ana Jacinta Soares - On the global well-posedness of discrete Boltzmann systems , Mathematical Methods in the Applied Sciences , Vol. 28, pp.1491-1506, 2005.
[4] Filipe Oliveira - A class of non-local operators for Vorticity waves , Applicable Analysis , Vol. 84, pp. 1287-1302, 2005.
[3] Filipe Oliveira - Approximation of the DNLS equation by the Cubic Nonlinear Schrödinger Equation, Proceedings of the Royal Society of Edinburgh , Vol. 134A, pp. 595-607, 2004.
[2] Filipe Oliveira - Stability of the solitons for the one-dimensional Zakharov-Rubenchick equation in higher dimension , Physica D , Vol. 175, pp. 220-240, 2003.
[1] Filipe Oliveira - Local analytic Solutions to the DNLS equation in higher dimension , Science University of Tokyo Journal of Mathematics , Vol. 36, pp. 385-406, 2000.