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Spyridon Filippas
Department of Mathematics and Statistics University of Helsinki Helsinki Finland Email : spyridon (dot) filippas (at) helsinki (dot) fi |
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About
I am currently a post-doctoral researcher at the department of Mathematics and Statistics at University of Helsinki, working with Professor Lauri Oksanen .My Phd thesis, Unique continuation for wave and Schrödinger operators and applications to control theory, defended on December 2023 at Laboratoire de Mathématiques d'Orsay (Université Paris-Saclay) was supervised by Camille Laurent and Matthieu Léautaud.
Research interests: Analysis of PDE's, unique continuation, Carleman inequalities, Control Theory, Inverse Problems.
Papers and preprints
- On the blowup of quantitative unique continuation estimates for
waves and applications to stability estimates (with Lauri Oksanen)
submitted. - On the stability of an inverse problem for waves via the
Boundary Control method (with Lauri Oksanen)
submitted. - Unique continuation for Schrödinger operators with partially
Gevrey coefficients (with Camille Laurent and Matthieu Léautaud)
Communications of the American Mathematical Society, 5 (2025), 321-391. - Whispering gallery modes for a transmission problem
ESAIM: Control, Optimisation and Calculus of Variations, 29 (2023) 75. - Quantitative unique continuation for wave operators with a jump discontinuity across an interface and applications to approximate control
Bulletin de la Société Mathématique de France, 152(2):199--294, 2024.
Proceedings
- On unique continuation for the Schrödinger equation (with Camille Laurent and Matthieu Léautaud)
Séminaire Laurent Schwartz - EDP et applications (2023-2024), Exposé no. 15, 13 p.
Talks
- "Applied Inverse Problems 2025", Rio de Janeiro, Brazil (July 2025)
- "Inverse Days 2025", Oulu, Finland (December 2024)
- "Applied analysis and PDE Seminar", University of Athens, Greece (April 2024)
- "Inverse Problems for the Physical Sciences 2024", Puerto Varas, Chile (January 2024)
- "Inverse Days 2023", Lahti, Finland (December 2023)
- "Seminar of Differential Equations and Numerical Analysis", University of Crete, Greece (May 2023)
- "Congrès des Jeunes Chercheurs en Mathématiques et leurs Applications", Calais, France (September 2022)
- "Analysis Phd students' Seminar", Orsay, France (May 2022)
Teaching 2024-2025
- Calculus IB: Integration (Bachelor's Programme in Science, University of Helsinki)
