Publications

pre-prints

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 graphEvolution 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