Time optimal controls for infinite dimensional systems
January 24, at 12:00 p.m. (Rio de Janeiro local time)
Local: room C116 - Bloco C - CT – Instituto de Matemática – UFRJ. There will be no transmission online.
Speaker: Sorin Micu - (Universidade de Craiova)
Abstract: We consider the time optimal control problem, with a point target, for an infinite dimensional system described by the Kirchhoff plate equation with distributed control. We prove that time optimal controls have a bang-bang property and, consequently, that they are unique. The main ingredients used to achieve this goal is a new approximate observability property from measurable sets for the system described by the Kirchhoff equation and an abstract result for systems with skew-adjoint generator.
Título: Propriedade de Liouville para equações não lineares degeneradas
Palestrante: Disson dos Prazeres (Universidade Federal de Sergipe)
Data: 21/01/2024
Horário: 12:00h
Local: room C116 - Bloco C - CT – Instituto de Matemática – UFRJ.
Resumo: Nesta palestra, apresentaremos uma nova estratégia para obtermos a propriedade de Liouville para equações não-lineares degeneradas. Como aplicação iremos obter resultados de existência para problemas de Dirichlet.
Título: “A basis for certain spaces of overconvergent modular functions”
Palestrante: Cláudio da Silva Velasque
Data: 15/12/2023
Horário: 10:00h
Local: C-116 e Transmissão online
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Banca:
Aftab Pande (presidente) - IM/UFRJ
Ian Kiming - University of Copenhagen
João Pedro dos Santos - Université de Montpellier/IMPA
Francesco Noseda - IM/UFRJ
Ariel Molinuevo - IM/UFRJ
Baskar Balasubramanyam - IISER Pune (Suplente)
Uniqueness and nondegeneracy for fractional Dirichlet problems.
January 23, at 11:00 a.m. (Rio de Janeiro local time)
Local: room C116 - Bloco C - CT – Instituto de Matemática – UFRJ. There will be no transmission online.
Speaker: Isabella Ianni (Sapienza Università di Roma)
Abstract: We discuss some recent uniqueness and nondegeneracy results for non-negative solutions of some fractional semilinear problems in bounded domains with Dirichlet exterior condition.
In particular we can consider least energy solutions in balls or in more general symmetric domains, for problems with power nonlinearities. The symmetry properties of the solutions of the associated linearized equation are also investigated.
The talk is mainly based on the following joint works:
[1] A. Dieb, I. Ianni, A. Saldaña, Uniqueness and nondegeneracy for Dirichlet fractional problems in bounded domains via asymptotic methods, Nonlinear Analysis, 236, 2023,
https://doi.org/10.1016/j.na.
[2] A. Dieb, I. Ianni, A. Saldaña, Uniqueness and nondegeneracy of least-energy solutions to fractional Dirichlet problems, preprint arXiv:2310.01214
De 4 a 8 de dezembro de 2023 ocorrerá o minicurso The cutoff phenomenon for stochastic Langevin equations, ministrado pelo Professor Michael Högele, da Universidad de Los Andes, Bogotá.
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