Publications

Published and accepted papers 

1. On maximal attractors for dynamical systems. Application to a semilinear parabolic with controlled growth (2024), Journal of Evolution Equations. Accepted, W/ M. Bortolan, J. Garcia-Fuentes, P. Kalita. DOI 10.1007/s00028-024-00966-7 

2.  The Nehari manifold for a degenerate logistic parabolic equation  (2024), Differential and Integral Equations.  Accepted , w/ L. Maia

3. Continuity of the unbounded attractors for a fractional pertubation of a scalar reaction-diffusion equation (2024), Journal of Dynamics and Differential Equations. Accepted , w/ M. Belluzi, M. Bortolan, U. Castro. 

4. Unbounded Sturm attractors for quasilinear parabolic equations. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, vol 67(2), 545-565, (2024). W/ P. Lappicy. doi:10.1017/S0013091524000129 

5. Sufficient conditions for the existence and uniqueness of maximal attractors for autonomous and nonautonomous dynamical systems. Journal of Dynamics and Differential Equations, vol 1, 1-30, (2022), w/ M. Bortolan. 

6.  Blow-up and bounded solutions for a semilinear parabolic problem in a saturable medium. Discrete and Continuous Dynamical Systems, vol. 41(3), 1297-1318 (2021), w/ L. Maia.

7. A semilinear elliptic equation with competing powers and a radial potential. Journal d'Analyse Mathématique ,  vol. 140 (1) , 283-298, (2020),  w/ M. Musso.

8.  Limiting grow-up behavior for a one-parameter family of dissipative PDEs.  Indiana University Mathematics Journal, vol. 69, 657-683, (2020),  w/  S. Bruschi, A. N. Carvalho.

9. Autonomous and non-autonomous unbounded attractors under perturbations. Proceedings of the Royal Society of Edinburgh Section A: Mathematics , vol. 129 (4), 877-903, (2019), w/  A. N. Carvalho.

10. Slowly non-dissipative equations with oscillating growth. Portugaliae Mathematica , vol.75, no.3-4,  313-327 (2018),  w/  P. Lappicy.

11.  Unbounded Sturm global attractors for semilinear parabolic equations on the circle. SIAM Journal on Mathematical Analysis, v. 48, 3860-3882, (2016). 

12.  A permutation related to non-compact global attractors for slowly non-dissipative systems.  Journal of Dynamics and Differential Equations, vol. 28 (1), 1-28, (2016), C. Rocha.

13.  Estimates for a class of slowly non-dissipative reaction-diffusion equations. The Rocky Mountain Journal of Mathematics, vol. 46 (3), (2016), w/ E. Pimentel.

14.  Noncompact global attractors for scalar reaction-diffusion equations.  São Paulo Journal of Mathematical Sciences, vol. 9 (2), 299-310, (2015), w/ C. Rocha.

Submitted

1.  Dynamical properties of a second-order in time partial integro-differential equation: existence and regularity of pullback attractors (2023), submitted. w/ F. Bezerra, S. Bruschi, D. Silva