Produção Científica:
Artigos publicados:
1) Lopes, Pedro T. P., The regularity of the η function for the
Shubin calculus.
Journal of Pseudo-Differential Operators and
Applications, v. 4, p. 457-478, 2013.
2) Lopes, Pedro T. P. e Melo, Severino T., K-theory of the Boutet de Monvel algebra with classical
SG-symbols on the half space.
Mathematische Nachrichten, v. 287, Issue 16, p. 1804-1827, 2014.
3) Lopes, Pedro T. P., Gelfand-Shilov regularity of SG boundary value problems.
Journal of Pseudo-Differential Operators and
Applications 8.1, p. 55-81, 2017.
4) Lopes, Pedro T. P. e Pereira, M. C., Dynamical boundary conditions in a non-cylindrical domain for the Laplace equation.
Journal of
Mathematical Analysis and Applications, 465 (1), 379-402, 2018.
(Título anterior no arxiv era: Non-autonomous Dirichlet-to-Neumann operators on Lipschitz
domains with form methods.)
5) Lopes, Pedro T. P. e Schrohe, E., Spectral Invariance of Pseudo-Differential Boundary Value Problems with Conical
Singularities.
Journal of Fourier Analysis and Applications, Vol 25 (3), 1147-1202, 2019.
6) Lopes, Pedro T. P. e Roidos, N., Smoothness and long time existence for solutions of the Cahn-Hilliard equation on manifolds with conical
singularities.
Monatshefte für Mathematik, Vol 197 (4), 677-716, 2022.
7) Laurain, Antoine e Lopes, Pedro, T. P. e Nakasato, Jean C., An Abstract lagrangian framework for computing shape derivatives.
ESAIM: Control, Optimisation and Calculus of Variations, v. 29, p. 5, 2023.
Capítulos de livros publicados:
8) Lopes, Pedro T. P., Fredholmness and Ellipticity of PsiDos on Bspq and Fspq.
Analysis of Pseudo-Differential Operators, Editors: Shahla
Molahajloo and M. W. Wong, Birkhäuser, 63-77, 2019.
Artigos aceitos:
9) Lopes, Pedro T. P. e Roidos, N., Existence of global attractors and convergence of solutions for the Cahn-Hilliard equation on manifolds
with conical singularities.
(Accepted for publication in Journal of Mathematical Analysis and Applications in 2023) https://arxiv.org/abs/2201.12915