1 citations · 1 across the 8 of their papers we have counts for
8 papers
Existence of global attractors and convergence of solutions for the Cahn-Hilliard equation on manifolds with conical singularities
Pedro T. P. Lopes, Nikolaos Roidos
We consider the Cahn-Hilliard equation on manifolds with conical singularities and prove existence of global attractors in higher order Mellin-Sobolev spaces with asymptotics. We a…
An abstract lagrangian framework for computing shape derivatives
Antoine Laurain, Pedro T. P. Lopes, Jean C. Nakasato
In this paper we study an abstract framework for computing shape derivatives of functionals subject to PDE constraints. We revisit the Lagrangian approach using the implicit functi…
Smoothness and long time existence for solutions of the Cahn-Hilliard equation on manifolds with conical singularities
Pedro T. P. Lopes, Nikolaos Roidos
We consider the Cahn-Hilliard equation on manifolds with conical singularities. For appropriate initial data, we show that the solution exists in the maximal -regularity space…
Spectral Invariance of Pseudodifferential Boundary Value Problems on Manifolds with Conical Singularities
Pedro T. P. Lopes, Elmar Schrohe
We prove the spectral invariance of the algebra of classical pseudodifferential boundary value problems on manifolds with conical singularities in the Lp-setting. As a consequence…
Dynamical boundary conditions in a non-cylindrical domain for the Laplace equation
Pedro T. P. Lopes, Marcone C. Pereira
In this paper, we study existence, uniqueness and asymptotic behavior of the Laplace equation with dynamical boundary conditions on regular non-cylindrical domains. We write the pr…
Gelfand-Shilov Regularity of SG Boundary Value Problems
Pedro T. P. Lopes
We show that the solutions of SG elliptic boundary value problems defined on the complement of compact sets or on the half-space have some regularity in Gelfand-Shilov spaces. The…
-Theory of Boutet de Monvel algebras with classical SG-symbols on the half space
Pedro T. P. Lopes, Severino T. Melo
We compute the -groups of the -algebra of bounded operators generated by the Boutet de Monvel operators with classical SG-symbols of order (0,0) and type 0 on $\mathbb{R}…
The regularity of the function for the Shubin calculus
Pedro Lopes
We prove the regularity of the function for classical pseudodifferential operators with Shubin symbols. We recall the construction of complex powers and of the Wodzicki and Kon…