Publications
pre-prints
R.A. Capistrano Filho, F.A. Gallego and J.R. Muñoz. Exact Boundary Control and Stabilization Fir the KP-II Equation (Submitted)
R.A. Capistrano, F.A. Gallego and V. Komornik. A qualitative study of the generalized dispersive systems with time-delay: The unbounded case. (Submitted)
F.A. Gallego, A.F. Pazoto and I. Rivas. Boundary Controllability of the Gear-Grimshaw System. (Submitted)
journal papers
16. R.A. Capistrano, L.S de Souza and F.A. Gallego. Approximation theorem for the Kawahara operator and its application in control theory Mathematische Nachrichten (2024 - doi.org/10.1002/mana.202300235)
15. R.A. Capistrano-Filho, L.S de Souza and F.A. Gallego. Control of Kawahara equation with overdetermination condition: The unbounded cases. Mathematical Methods and Applied Sciences Vol. 46, Issue 14, pages 15162 -15185 (2023)
14. F.A. Gallego and A. Montes. The Well-posedness and Controllability of the Generalized Symmetric Regularized Long Wave System. Communications on Pure and Applied Analysis Vol. 22, No. 8, pp 2559 - 2589 (2023)
13. R.A. Capistrano-Filho, E. Cerpa and F. Gallego, Rapid Exponential Stabilization of a Boussineq System of KdV-KdV Type . Communications in Contemporany Mathematics. Vol. 25, No. 03, 2150111 (2023)
12. R.A. Capistrano-Filho, M. Cavalcante and F.A. Gallego. Controllability for Schrödinger type system with mixed dispersion on compact star graph. Evolution Equations and Control Theory Vol 12 (1), 1-19 (2023)
11. R.A. Capistrano-Filho, M. Cavalcante and F.A. Gallego. Forcing operator on star graph applied in the cubic fourth order Schrödinger equation. Discrete and Continuous Dynamical Systems - B Vol 27 (6) (2022) 3399-3434.
10. R.A. Capistrano-Filho, M. Cavalcante and F.A. Gallego. Lower Regularity Solutions of the Biharmonic Schrodinger Equation in a Quarter Plane. Pacific Journal of Mathematics. Vol 309 (2020) No 1, 35 - 70
9. F.A. Gallego and H.F. Sare. On the Stability of the Cauchy Problem of Timoshenko Thermoelastic Systems with Past History: Cattaneo and Fourier Law. https://arxiv.org/pdf/1808.08499.pdf (2019).
8. R. A. Capistrano-Filho, F.A. Gallego and A.F. Pazoto, On the well posedness and large-time behavior of higher order Boussinesq system. Nonlinearity. (2019) , Vol 32, Issue 5, Pages 1852 - 1881.
7. F.A. Gallego and A.F. Pazoto. On the well-posedness and asymptotic behavior of the generalized KdV-Burgers equation. Proceeding of the Royal Society of Edinburgh Section A: Mathematics. (2019) , Vol 149, Issue 1, Pages 219 - 260.
6. R.A. Capistrano-Filho and F.A. Gallego. Asymptotic behavior of Boussinesq system of KdV-KdV type. Journal of Differential Equations. (2018), Vol 265, Issue 6, Pages 2341 - 2374.
5. F.A. Gallego. Controllability aspects of the Korteweg-de Vries Burgers equation on unbounded domains. Journal of Mathematical Analysis and Applications. (2018), Vol 461, Issue 1, Pages 947-970.
4. Fernando A. Gallego and Jaime E. Munoz Rivera. Decay Rates of the Solutions to the Thermoelastic Bresse System of Types I and III. Electronic Journal of Differential Equations, (2017), No. 73, pp. 1-26.
3. R.A. Capistrano-Filho, F.A. Gallego and A.F. Pazoto. Boundary controllability of the nonlinear coupled system of two Korteweg-de Vries equations with critical size restrictions on the spatial domain. Mathematics of Control, Signals, and Systems, (2017), 29:6.
2. R.A. Capistrano-Filho, F.A. Gallego and A.F. Pazoto. Neumann Boundary Controllability of the Gear-Grimshaw System With Critical Size Restrictions on the Spatial Domain. Zeitschrift fuer Angewandte Mathematik und Physik ZAMP, (2016), 67 (5), 67:109.
1. F.A. Gallego, J.J. Quintero and J.C. Riano. Convergence of the steepest descent method with line searches and uniformly convex objective in reflexive Banach space. Mathematical Communications, (2015), 20 (2), 161-173.
Thesis
P.h.d Thesis, Mathematics Institut, Federal University of Rio de Janeiro, Brazil, (2013-2017). Control and Stabilization of the Gear-Grimshaw system and the generalized KdV-Burgers equation