Seminar title: On the paper „Continuum limit for the Ablowitz–Ladik system” by Rowan Killip, Zhimeng Ouyang, Monica Vișan și Lei Wu.
Speaker: Gabriel Majeri
Abstract: Lucrarea este despre sistemul Ablowitz-Ladik, un sistem de ecuații diferențiale pe o latice 1D care aproximează la limită ecuația Schrödinger cubică. Autorii combină mai multe rezultate anterioare și câteva idei noi pentru a demonstra că este suficient să presupunem date inițiale din L^2 pentru că soluțiile globale ale Ablowitz-Ladik să conveargă la cele ale sistemului continuu Schrödinger nonliniar.
Coordinates: June 27, 2025, 10:00-12:00 am, room 120, FMI-UB.
Seminar title: Nonlinear variational PDE and Hilbert's XIXth problem III
Speaker: Adelina Călina
Coordinates: May 30, 2025, 10:00-12:00 am, room 120, FMI-UB.
Seminar title: Nonlinear variational PDE and Hilbert's XIXth problem II
Speaker: Adelina Călina
Coordinates: May 23, 2025, 10:00-12:00 am, room 120, FMI-UB.
Seminar title: Nonlinear variational PDE and Hilbert's XIXth problem
Speaker: Adelina Călina
Coordinates: April 11, 2025, 10:00-12:00 am, room 120, FMI-UB.
Seminar title: Despre demonstrația/demonstrații ale teoremei lui Bôcher, pentru funcții armonice cu singularități II
Speaker: Gabriel Majeri
Coordinates: April 4, 2025, 10:00-12:00 am, room 120, FMI-UB.
Seminar title: Despre demonstrația/demonstrații ale teoremei lui Bôcher, pentru funcții armonice cu singularități
Speaker: Gabriel Majeri
Coordinates: March 28, 2025, 10:00-12:00 am, room 120, FMI-UB.
Seminar title: Matzoh ball soup and the shape of the heat flow II
Speaker: Radu Ordean
Coordinates: March 14, 2025, 10:00-12:00 am, room 120, FMI-UB.
Seminar title: Matzoh ball soup and the shape of the heat flow
Speaker: Radu Ordean
Coordinates: March 7, 2025, 10:00-12:00 am, room 120, FMI-UB.
Seminar title: The Newton-Kantorovich Theorem or How We Can Be Sure That We Have Successfully Solved a Nonlinear System Numerically II
Speaker: Dragos Manea (IMAR)
Coordinates: February 7, 2025 10:00-12:00 am, room 120, FMI-UB.
Seminar title: The Newton-Kantorovich Theorem or How We Can Be Sure That We Have Successfully Solved a Nonlinear System Numerically I
Speaker: Dragos Manea (IMAR)
Coordinates: January 31, 2025, 10:00-12:00 am, room 120, FMI-UB.
Workshop Happy PDEs (details here)
Speakers: Claudiu Mîndrilă (BCAM, Bilbao, Spain), Andrei Gasparovici (UBB, Cluj), Nicușor Costea (UPB, Bucharest), Mihai Radu Adrian (UPB, Bucharest), Anisia Teca (Univ. Craiova), Dragoș Manea (IMAR, Bucharest), Lahcen El Bourkhissi (UPB, Bucharest), Teodor Rugina (UB & ISMMA, Bucharest), Radu Ordean (UB, Bucharest), Andrei Grecu (Univ. Craiova)
Coordinates: December 13, 2024, 10:00 - 18:00, "Ciprian Foiaș" Hall, eighth floor, IMAR.
Seminar title: About eigenvalues of elliptic operators
Speaker: Dragos Manea (IMAR)
Coordinates: November 29, 2024, 10:00-12:00 am, room 120, FMI-UB.
Seminar title: Schauder estimates for elliptic equations
Speaker: Adelina Călina (FMI-UB)
Coordinates: November 22, 2024, 10:00-12:00 am, room 120, FMI-UB.
Speakers: Fernando Quiros (Univ. Autonoma Madrid, Spain), Denisa Stancu-Dumitru (Politehnica Bucharest), Dragos Manea (IMAR, Bucharest), Lucian Beznea (IMAR and CAMPUS Institute, Bucharest)
Coordinates: November 15, 2024, 10:00 am-1 pm, CAMPUS Research Institute of the University POLITEHNICA Bucharest (UNSTPB), 1st floor, Conference Hall
Seminar title: Regularity of weak solutions to the Dirichlet problem II
Speaker: Adelina Călina (FMI-UB)
Coordinates: November 5, 2024, 10:00-12:00 am, room 120, FMI-UB.
Seminar title: Regularity of weak solutions to the Dirichlet problem I
Speaker: Cristi Cazacu (FMI-UB, ISMMA)
Coordinates: October 29, 2024, 10:00-12:00 am, room 120, FMI-UB.
Seminar title: Regularity of distributional harmonic functions II
Speaker: Cristi Cazacu (FMI-UB, ISMMA)
Coordinates: October 22, 2024, 10:00-12:00 am, room 120, FMI-UB.
Seminar title: Regularity of distributional harmonic functions I
Speaker: Cristi Cazacu (FMI-UB, ISMMA)
Coordinates: October 8, 2024, 10:00-12:00 am, room 120, FMI-UB.
The lectures of the Academic year 2023-2024 are available here: http://www.imar.ro/organization/activities/archive/courses_arh_1580.php
For the seminar history (back in 2017-2018) visit this link :https://sites.google.com/site/liviuignat/seminar
Rajae Bentahar (Université Abdelmalek Essaadi, Ecole Nationale des Sciences Appliquées (ENSA), Tetouan, Maroc)
Coordinates: FMI-UB & IMAR (online talk), November 18, 2021, from 10:00-11:00 a.m. (local time in Bucharest, Romania)
Title of the talk: EXISTENCE OF RENORMALIZED SOLUTIONS FOR SOME NONCOERCIVE ANISOTROPIC ELLIPTIC PROBLEMS WITH NEUMANN BOUNDARY CONDITIONS.
Abstract: Our aim in this work is to prove the existence of at least one renormalized solution for an anisotropic elliptic problem with Neumann boundary conditions. Key words: Anisotropic Sobolev spaces, renormalized solution, elliptic problem, Neumann boundary conditions.
Alejandro Garriz Molina (Autonomous University of Madrid, Spain)
Coordinates: FMI-UB, November 25, 2019, from 3:00-4:00 pm, room 214 (Google)
Title of the talk: Coupling of Local and Non-local operators.
Abstract:
During this session we will see how the definition of an energy functional that is local in a domain and non-local in the complementary gives rise to a parabolic problem that shares this properties by coupling both operators, presenting results about existence and asymptotic behaviour of the solutions for the initial value problem, and convergence of the operator to the laplacian, for all three problems: Cauchy, Dirichlet and Neumann.We will put special attention to the tools used in this study, proposing new problems that can be studied in a similar way to ours and commenting on possible applications of the model.
Diana Stan (University of Cantabria, Santander, Spain),
Coordinates: FMI-UB, October 7, 2019, from 3:00-4:00 pm, room 215.
Title of the talk: Carleman estimates for fractional operators.
Abstract: Firstly, we consider changing-sign solutions to the heat equation for such operators. We prove monotonicity inequalities and convexity of certain energy functionals to deduce Carleman estimates with linear exponential weight. Our approach is based on spectral methods and functional calculus. Secondly, we use pseudo-differential calculus inorder to prove Carleman estimates with quadratic exponential weight, both in parabolic and elliptic contexts. The latter also holds in the case of the fractional Laplacian.
Joint work with Luz Roncal and Luis Vega. Partially supported by the ERCEA Advanced Grant 2014 669689-HADE. References: L Roncal, D Stan, L Vega, Carleman type inequalities for fractional relativistic operators. preprint arXiv:1909.10065