Publications
Ferreira, L. C. F.; Lagoin, W. S., An approach to elliptic equations with nonlinear gradient terms via a modulation framework, to appear in Bulletin of Mathematical Sciences (2023).
Ferreira, L. C. F.; Xuan, P. T., On uniqueness of mild solutions for Boussinesq equations in Morrey-type spaces. Appl. Math. Lett. 137 (2023), Paper No. 108502, 8 pp.
Ferreira, L. C. F.; Moitinho, V. V. C., Global well-posedness, regularity and blow-up for the β-CCF model. J. Differential Equations 344 (2022), 230–259.
Ferreira, L. C. F.; Pérez-López, J. E., On the well-posedness of the incompressible Euler equations in a larger space of Besov-Morrey type. Dyn. Partial Differ. Equ. 19 (1) (2022), 23–49.
Ferreira, L. C. F., On the uniqueness of mild solutions for the parabolic-elliptic Keller-Segel system in the critical Lp-space. Math. Eng. 4 (6) (2022), Paper No. 048, 14 pp.
Abreu, E. C.; Ferreira, L. C. F.; Galeano, J. G.; Pérez, J. A., On a 1D model with nonlocal interactions and mass concentrations: an analytical-numerical approach. Nonlinearity 35 (2022), 1734–1772.
Aurazo-Alvarez, L. L.; Ferreira, L. C. F., Global well-posedness for the fractional Boussinesq-Coriolis system with stratification in a framework of Fourier-Besov type. Partial Differ. Equ. Appl. 2 (5) (2021), Paper No. 62, 18 pp.
Castañeda-Centurión, N. F.; Ferreira, L. C. F., On singular elliptic boundary value problems via a harmonic analysis approach. J. Differential Equations 299 (2021), 402–428.
Ferreira, L.C.F.; Furtado, M.; Medeiros, E.S., On a weighted trace embedding and applications to critical boundary problems. Math. Nachr. 294 (5)(2021), 877–899.
de Souza, R.N.; Olivo, E. E. B.; da Silva, C.R.N.; Ferreira, L.C.F.; Santos Filho, J.C.S., On Second-Order Statistics of Full-Duplex Relaying. IEEE Communications Letters 25 (2021), 1104–81108.
Duarte-Rodríguez, A.; Ferreira, L.C.F.; Villamizar-Roa, E.J., Global existence for an attraction-repulsion chemotaxis-fluid system in a framework of Besov-Morrey type. J. Math. Fluid Mech. 22 (4) (2020), paper 63, 18 pp.
Angulo-Castillo, V.; Ferreira, L.C.F., Long-time solvability in Besov spaces for the inviscid 3D-Boussinesq-Coriolis equations. Discrete Contin. Dyn. Syst. Ser. B 25 (12) (2020), 4553–4573.
Ferreira, L. C. F., Pérez-López, J. E., Global well-posedness and self-similarity for semilinear wave equations in a time-weighted framework of Besov type. J. Hyperbolic Differ. Equ. 17 (1) (2020), 123–139.
Angulo-Castillo, V.; Ferreira, L.C.F.; Kosloff, L., Long-time solvability for the 2D dispersive SQG equation with improved regularity. Discrete Contin. Dyn. Syst. 40 (3) (2020), 1411–1433.
Ferreira, L.C.F.; Moitinho, V.V.C. Global smoothness for a 1D supercritical transport model with nonlocal velocity. Proc. Amer. Math. Soc. 148 (7) (2020), 2981–2995.
Ferreira, L.C.F.; Pérez-López, J.E., Bilinear estimates and uniqueness for Navier-Stokes equations in critical Besov-type spaces, Ann. Mat. Pura Appl. 199 (1) (2020), 379–400.
Barros, V.; Ferreira, L. C. F.; Pastor, A., On the two-power nonlinear Schrödinger equation with non-local terms in Sobolev-Lorentz spaces. NoDEA Nonlinear Differential Equations Appl. 26 (5) (2019), Paper No. 39, 29 pp.
Ferreira, L. C. F.; Ferreira, V. A., Jr, On the eventual local positivity for polyharmonic heat equations. Proc. Amer. Math. Soc. 147 (10) (2019), 4329–4341.
Ferreira, L.C.F., Santos, M.C., Valencia-Guevara, J.C., Minimizing movement for a fractional porous medium equation in a periodic setting, Bulletin des Sciences Mathematiques 153 (2019), 86-117.
Ferreira, L.C.F., Postigo, M., Global well-posedness and asymptotic behavior in Besov-Morrey spaces for chemotaxis-Navier-Stokes fluids, Journal of Mathematical Physics 60 (2019), 061502, 19pp.
Duarte-Rodríguez, A., Ferreira, L.C.F., Villamizar-Roa, E.J., Global existence for an attraction-repulsion chemotaxis fluid model with logistic source, Discrete and Continuous Dynamical Systems- B 24 (2019), 423-447.
Angulo-Castillo, V., Ferreira, L.C. F., Global well-posedness and asymptotic behavior for Navier-Stokes-Coriolis equations in homogeneous Besov spaces, Asymptotic Analysis 112 (2019), 37-58.
Cioletti, L. M., Ferreira, L.C.F., Furtado, M., An elliptic equation with random potential and supercritical nonlinearity. Revista Integración 37 (2019), 1-16.
Ferreira, L.C.F., Pérez-López, J.E., Villamizar-Roa, E.J., On the product in Besov-Lorentz-Morrey spaces and existence of solutions for the stationary Boussinesq equations, Comm. on Pure and Applied Analysis 17 (2018), 2423-2439.
Ferreira, L.C.F., Neves, S.L.N., On elliptic equations with singular potentials and nonlinear boundary conditions, Quarterly of Applied Mathematics 76 (2018), 699-711.
Ferreira, L.C.F., Pérez-López, J.E., Besov-weak-Herz spaces and global solutions for Navier-Stokes equations, Pacific Journal of Mathematics 296 (2018), 57-77.
Angulo-Castillo, V., Ferreira, L.C.F., On the 3D Euler equations with Coriolis force in borderline Besov spaces, Communications in Mathematical Sciences 16 (2018), 145-164.
Ferreira, L.C.F., Valencia-Guevara, J.C., Gradient flows of time-dependent functionals in metric spaces and applications to PDEs, to appear in Monatshefte fur Mathematik 185 (2018), 231-268.
Benvenutti, M.J., Ferreira, L.C.F., Global stability of large solutions for the Navier-Stokes equations with Navier boundary conditions, Nonlinear Analysis-Real World Applications 43 (2018), 308-322.
de Almeida, M.F., Ferreira, L.C.F. ; Lima, L.S. M., Uniform global well-posedness of the Navier-Stokes-Coriolis system in a new critical space, Mathematische Zeitschrift 287 (2017), 735-750.
Ferreira, L.C.F., Castañeda-Centurión, N.F., A Fourier analysis approach to elliptic equations with critical potentials and nonlinear derivative terms, Milan Journal of Mathematics 85 (2017), 187-213.
Banquet, C., Ferreira, L.C.F., Villamizar-Roa, E.J., Solutions in Bessel-potential spaces for wave equations with nonlinear damping, Math. Meth. App. Sci. 40 (2017), 5613-5618.
Ferreira, L.C. F., Pérez-López, J.E., On the theory of Besov-Herz spaces and Euler equations, Israel J. Math. 220 (1) (2017), 283-332.
de Almeida, M.F., Ferreira, L.C.F., Time-weighted estimates in Lorentz spaces and self-similarity for wave equations with singular potentials, Analysis & PDE 10 (2) (2017), 423-438.
de Almeida, MF., Ferreira, L.C.F., Precioso, J.C., On the heat equation with nonlinearity and singular anisotropic potential on the boundary, Potential Anal. 46 (3) (2017), 589-608.
Ferreira, L.C.F., Niche, C.J., Planas, G., Decay of solutions to dissipative modified quasi-geostrophic equations, Proc. Amer. Math. Soc. 145 (1) (2017), 287-301.
Ferreira, L.C.F., Montenegro, M., Santos, M.C., Existence and symmetry for elliptic equations in Rn with arbitrary growth in the gradient, Journal d'Analyse Mathématique 130 (2016), 1-18.
Benvenutti, M.J., Ferreira, L.C.F., Existence and stability of global large strong solutions for the Hall-MHD system, Differential and Integral Equations 29 (2016), 977-1000.
Ferreira, L.C.F., Lima, L.S.M., Global well-posedness and symmetries for dissipative active scalar equations with positive-order couplings, Publicacions Matemàtiques 60 (2016), 525-550.
Ferreira, L.C.F., Valencia-Guevara, J.C. , Periodic solutions for a 1D-model with nonlocal velocity via mass transport, Journal of Differential Equations 260 (2016), 7093-7114.
Ferreira, L.C.F., On a bilinear estimate in weak-Morrey spaces and uniqueness for Navier-Stokes equations, Journal de Mathématiques Pures et Appliquées 105 (2016), 228-247.
Ferreira, Lucas C.F. ; Furtado, M. ; Medeiros, E.S., Existence and multiplicity of self-similar solutions for heat equations with nonlinear boundary conditions, Calculus of Variations and Partial Differential Equations 54 (2015), 4065-4078.
Ferreira, L.C.F. ; Mesquita, C.A.A.S., An approach without using Hardy inequality for the linear heat equation with singular potential, Comm. in Contemp. Math. 17 (2015), 1550041, 16pp.
Corcho, Adán J., Ferreira, L.C.F., Global existence for Schrödinger-Debye system for initial data with infinite L2-norm, Quarterly of Applied Mathematics 73 (2) (2015), 253-264.
Banquet, C., Ferreira, L.C.F., Villamizar-Roa, E.J., On existence and scattering theory for the Klein-Gordon-Schrödinger system in an infinite L2-norm, Annali di Matematica Pura ed Applicata 194 (2015), 781-804.
Ferreira, L.C.F., Medeiros, E.S., Montenegro, M., An elliptic system and the critical hyperbola, Comm. Pure Appl. Anal. 14 (2015), 1169-1182.
Ferreira, L.C.F., Lima, L. S. M., Self-similar solutions for active scalar equations in Fourier-Besov-Morrey spaces, Monatshefte fur Mathematik 175 (2014), 491-509.
Ferreira, L.C.F., Medeiros, E.S., Montenegro, M., On a Class of Elliptic System of Schrödinger-Poisson Type, Journal of the Australian Mathematical Society 97 (2014), 301-314.
Angulo, J., Ferreira, L.C.F., On the Schrödinger equation with singular potentials, Differential and Integral Equations 27 (2014), 767-800.
Ferreira, L.C.F., Mesquita, Cláudia A. A. S., Existence and symmetries for elliptic equations with multipolar potentials and polyharmonic operators, Indiana University Mathematics Journal 62 (2013), 1955-1982.
Ferreira, L.C.F., Precioso, J.C., Existence of solutions for the 3D-micropolar fluid system with initial data in Besov Morrey spaces, Zeitschrift fur Angewandte Mathematik und Physik 64 (2013), 1699-1710.
Ferreira, L.C.F. ; Planas, G. ; Villamizar-Roa, Elder J. . On the Nonhomogeneous Navier--Stokes System with Navier Friction Boundary Conditions, SIAM Journal on Mathematical Analysis 45 (2013), 2576-2595.
Ferreira, L. C. F., Medeiros, E. S., Montenegro, M., On the Laplace equation with a supercritical nonlinear Robin boundary condition in the half-space, Calculus of Variations and Partial Differential Equations 47 (2013), 667-682.
de Almeida, Marcelo F. ; Ferreira, Lucas C. F. . On the local solvability in Morrey spaces of the Navier-Stokes equations in a rotating frame, Journal of Mathematical Analysis and Applications 405 (2013), 362-372.
Ferreira, Lucas C. F.; Montenegro, M., A Fourier approach for nonlinear equations with singular data, Israel Journal of Mathematics 193 (2013), 83-107.
Ferreira, Lucas C. F., Medeiros, E. S., Montenegro, M., A class of elliptic equations in anisotropic spaces, Annali di Matematica Pura ed Applicata 192 (2013), 539-552.
Ferreira, Lucas C. F.; Villamizar-Roa, Elder J., Strong solutions and inviscid limit for Boussinesq system with partial viscosity, Commun. Math. Sci. 11 (2013), 421-439.
Banquet, Carlos, Ferreira, Lucas C.F., Villamizar-Roa, Elder J., On the Schrödinger-Boussinesq system with singular initial data, Journal of Mathematical Analysis and Applications 400 (2013), 487-496.
de Almeida, Marcelo F. , Ferreira, Lucas C. F., On the Navier-Stokes equations in the half-space with initial and boundary rough data in Morrey spaces, Journal of Differential Equations 254 (2013), 1548-1570.
Carrillo, J.A., Ferreira, L.C.F., Precioso, J.C., A mass-transportation approach to a one dimensional fluid mechanics model with nonlocal velocity, Advances in Mathematics 231 (2012), 306-327.
de Almeida, M.F., Ferreira, L.C.F., Self-similarity, symmetries and asymptotic behavior in Morrey spaces for a fractional wave equation, Differential and Integral Equations 25 (2012), 957-976.
Ferreira, Lucas C. F., A family of dissipative active scalar equations with singular velocity and measure initial data, Computers & Mathematics with Applications 64 (2012), 3292-3301.
Farah, L.G.; Ferreira, L.C.F., On the wave operator for the Generalized Boussinesq equation, Proc. Amer. Math. Soc. 140 (2012), no. 9, 3055-3066.
Ferreira, Lucas C.F., Villamizar-Roa, Elder J., Self-similarity and asymptotic stability for coupled nonlinear Schrödinger equations in high dimensions, Physica D Nonlinear phenomena 241 (2012), no. 5, 534-542.
Ferreira, L.C.F., Villamizar-Roa, E.J., A semilinear heat equation with a localized nonlinear source and non-continuous initial data, Math. Methods Appl. Sci. 34 (2011), no.15, 1910-1919.
Ferreira, Lucas C. F.; Precioso, J. C., Existence and asymptotic behavior for the parabolic-parabolic Keller-Segel system with singular data, Nonlinearity 24 (2011), no. 5, 1433-1449, 2011.
Ferreira, Lucas C. F.; Villamizar-Roa, Elder J., Fractional Navier-Stokes equations and a Hölder-Type inequality in a sum of singular spaces, Nonlinear Anal. 74 (2011), no. 5, 5618-5630.
de Almeida, Marcelo F.; Ferreira, Lucas C. F., On the well-posedness and large time behavior for Boussinesq equations in Morrey spaces, Differential and Integral Equations 24 (2011), no. 7-8, 719-742.
Ferreira, Lucas C. F.; Villamizar-Roa, Elder J., On the heat equation with concave-convex nonlinearity and initial data in weak-Lp spaces, Commun. Pure Appl. Anal. 10 (2011), no. 6, 1715-1732.
Ferreira, Lucas C. F.; Existence and scattering theory for Boussinesq type equations with singular data, Journal of Differential Equations 250 (2011), no. 5, 2372-2388.
Ferreira, Lucas C. F.; Villamizar-Roa, Elder J., Exponentially-stable steady flow and asymptotic behavior for the magnetohydrodynamic equations, Commun. Math. Sci. 9 (2011), no. 2, 499-516.
Ferreira, Lucas C. F.; Montenegro, Marcelo, Existence and asymptotic behavior for elliptic equations with singular anisotropic potentials, Journal of Differential Equations 250 (2011), no. 4, 2045-2063.
Ferreira, Lucas C. F., On the uniqueness for subcritical quasi-geostrophic equations, Commun. Math. Sci. 9 (2011), no. 1, 57-62.
Ferreira, Lucas C. F.; Queiroz, O.S., A singular parabolic equation with logarithmic nonlinearity and Lp-initial data, Journal of Differential Equations 249 (2010), no. 2, 349-365.
Ferreira, Lucas C. F.; Villamizar-Roa, Elder J., On the existence of solutions for the Navier-Stokes system in a sum of weak-Lp spaces, Discrete Contin. Dyn. Syst. 27 (2010), no. 1, 171-183.
Ferreira, Lucas C. F.; Villamizar-Roa, Elder J., On the stability problem for the Boussinesq equations in weak-Lp spaces, Commun. Pure Appl. Anal. 9 (2010), no. 3, 667-684.
Ferreira, Lucas C. F.; Mateus, Eder, Self-similarity and uniqueness of solutions for semilinear reaction-diffusion systems, Adv. Differential Equations 15 (2010), no. 1-2, 73-98.
Braz e Silva, P.; Ferreira, Lucas C. F.; Loayza, M., A nonlinear equation in Banach spaces and applications to the well-posedness of Cauchy problems, Nonlinear Anal. 70 (2009), no. 5, 1841-1849.
Braz e Silva, P., Ferreira, L.C.F.; Villamizar-Roa, E.J., On the existence of infinite energy solutions for nonlinear Schrödinger equations, Proc. Amer. Math. Soc. 137 (2009), no. 6, 1977-1987.
Ferreira, L.C.F., Villamizar Roa, E.J., Existence of solutions to the convection problem in a pseudomeasure-type space, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 464 (2008), no. 2096, 1983-1999.
Carrillo, J.A., Ferreira, L.C.F., The asymptotic behaviour of subcritical dissipative quasi-geostrophic equations, Nonlinearity 21 (2008), no. 5, 1001-1018.
Carrillo, J.A., Ferreira, L.C.F., Self-similar solutions and large time asymptotics for the dissipative quasi-geostrophic equation, Monatsh. Math. 151 (2007), no. 2, 111-142.
Ferreira, L.C.F.; Villamizar-Roa, E.J., On the existence and stability of solutions for the micropolar fluids in exterior domains, Math. Methods Appl. Sci. 30 (2007), no. 10, 1185-1208.
Ferreira, L.C.F.; Villamizar-Roa, E.J., Micropolar fluid system in a space of distributions and large time behavior, J. Math. Anal. Appl. 332 (2007), no. 2, 1425-1445.
Carrillo, J.A.; Ferreira, L.C.F., Convergence towards self-similar asymptotic behavior for the dissipative quasi-geostrophic equations, Self-similar solutions of nonlinear PDE, Banach Center Publ. 74 (2006), 95-115.
Ferreira, L.C.F., Villamizar-Roa, E.J., Self-similar solutions, uniqueness and long-time asymptotic behavior for semilinear heat equations, Differential and Integral Equations 19 (2006), no. 12, 1349-1370.
Ferreira, L.C.F., Villamizar-Roa, E.J., Well-posedness and asymptotic behaviour for the convection problem in Rn, Nonlinearity 19 (2006), no. 9, 2169-2191.