UPC research group on PDEs & Applications
(Grup de Recerca "EDP" de la UPC)
(Grup de Recerca "EDP" de la UPC)
This research group focuses on the analysis of partial differential equations (PDEs) and their applications. In particular:
PDEs
Reaction-diffusion elliptic and parabolic equations.
Nonlocal fractional diffusion equations.
Kinetic & aggregation-diffusion equations: mean field limits and numerics.
Spectral theory of differential operators in mathematical physics.
Analysis
Isoperimetric and Sobolev inequalities.
Calderón–Zygmund operators.
Weighted inequalities.
Applications
Inverse problems and parameter estimation.
Applications to biology, social sciences and robotics.
Odi Soler
Alberto Maione (Postdoc)
Renzo Bruera (PhD student)
Gerard Codina (PhD student)
Joaquim Duran (PhD student)
Victor Villegas-Morral (PhD student)
Yuanlin Sun (visiting researcher)
30/06/2025 - 4/07/2025: 21st School on Interactions between Dynamical Systems and Partial Differential Equations. (Barcelona)
26-29/08/2025: Analytic and algebraic methods in physics XXII. (Prague).
3-5/09/2025: Bilbao-Barcelona Analysis and PDEs meeting. (Bilbao).
7-13/09/2025: Networked MathFlows 2025 (Będlewo, Poland).
2022-2026: Spain MICINN grant "Partial Differential Equations: reaction-diffusion, integro-differential, and mathematical physics problems” (PDEReaPhy) (PID2021-123903NB-I00).
PI: Xavier Cabre and Albert Mas.
2023-2026: Spain MICINN grant "Kinetic equations for high dimensional and nonlocal interacting particle systems: Macroscopic limits, analysis and numerical methods" (macroKNIGHTs) (PID2022-143012NA-I00).
PI: Gissell Estrada.
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Past projects:
2022–2025: Generalitat de Catalunya grant "Teoria de Funcions i Equacions en Derivades Parcials”. 2021 SGR 00087
PI: Xavier Cabre.