Sesión Ecuaciones Diferenciales y AplicacionesStackelberg-Nash strategy for the null controllability of semilinear degenerate equations in non-cylindrical domains
ALFREDO SOLIZ GAMBOA
Universidad Privada Boliviana, Bolívia - Esta dirección de correo electrónico está siendo protegida contra los robots de spam. Necesita tener JavaScript habilitado para poder verlo.
In this paper we use a Stackelberg-Nash strategy to show the local null controllability of a semilinear parabolic equation in one-dimension defined in a non-cylindrical domain where the diffusion coefficient degenerates at one point of the boundary. The linearized degenerated system is treated using a Carleman inequality for degenerated non-autonomous systems proved by the autors in [1] and the local controllability of the semi-linear system is obtained using Liusternik’s inverse function theorem.
Trabajo en conjunto con: Juan Limaco (Universidade Federal Fluminense) y Luis P. Yapu (Friedrich-Alexander Universitat Erlangen-Nurnberg).
Referencias
[1] Gamboa, A.S., Limaco, J., Yapu, L.P.: Controllability of a system of non- autonomous degenerate coupled parabolic equations. J. or Math. Ana. and Appl. 563(2, Part 1), 130777 (2026)
[2] Demarque, R., Limaco, J., Viana, L.: Local null controllability of coupled degenerate systems with nonlocal terms and one control force. Evolution Equations and Control Theory 9, 605–635 (2020)
[3] Alabau-Boussouira, F., Cannarsa, P., Fragnelli, G.: Carleman estimates for degenerate parabolic operators with applications to null controllability. Journal of Evolution Equations 6, 161–204 (2006)