Analysis
People
Nicola Abatangelo
Associate Professor
Simonetta Abenda
Associate Professor
keywords:
integrable Hamiltonian Systems, exact solutions, asymptotic behaviour of solutions in space time, direct and inverse
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Paolo Albano
Full Professor
keywords:
viscosity solutions, Hamilton-Jacobi equations, analytic hypoellipticity
Jawad Ali
PhD Student
Pasquale Ambrosio
Research fellow
keywords:
Elliptic and parabolic equations, Regularity theory, Calculus of Variations
Nicola Arcozzi
Full Professor
keywords:
potential theory, spaces of holomorphic functions, integral inequalities
Annalisa Baldi
Associate Professor
keywords:
Compensated compactness, Carnot groups, Differential forms, Poincaré Inequalities, Homogenization
Andrea Bonfiglioli
Full Professor
keywords:
Carnot Groups, Sub-Laplacians, Campbell-Baker-Hausdorff formula, Potential Theory, Stratified Groups, Homogeneous
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David Joao Brandligt De Jesus
Research fellow
keywords:
Partial Differential Equations, Degenerate, Singular, Parabolic, Elliptic, Free boundary problems, Regularity,
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Bohdan Bulanyi
Research fellow
keywords:
Regularity theory; elliptic PDEs; p-Laplace operator; free boundary; Sobolev maps; shape optimization; anisotropic
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Gregorio Chinni
Junior assistant professor (fixed-term)
keywords:
Analytic and Gevrey Hypoellipticity for sums of squares, Global regularity for sums of squares defined on the torus,
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Simone Ciani
Junior assistant professor (fixed-term)
keywords:
Partial Differential Equations, Calculus of Variations
Eleonora Cinti
Associate Professor
keywords:
Elliptic nonlocal equations, nonlocal minimal surfaces, fractional mean curvature flow
Giovanna Citti
Full Professor
keywords:
Analysis in Lie groups and subriemannian structures, surfaces in subriemannian setting, subelliptic equations,
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Giovanni Eugenio Comi
Senior assistant professor (fixed-term)
keywords:
divergence-measure fields, Gauss-Green formulas, fractional Sobolev spaces, fractional gradient
Giovanni Cupini
Full Professor
keywords:
Elliptic equations, Calculus of variations
Giovanni Dore
Full Professor
keywords:
Wentzell boundary conditions, Elliptic problems, Functional calculus, Maximal regularity
Serena Federico
Junior assistant professor (fixed-term)
Fausto Ferrari
Full Professor
keywords:
Measures of curvatures, Carnot-Charathéodory distance, Free boundary problems, Carnot groups, Elliptic and Subelliptic
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Matteo Franca
Associate Professor
keywords:
Radial solutions, Singular solutions, Critical and supercritical Elliptic equations, Fowler transformation,
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Mattia Francesco Galeotti
Junior assistant professor (fixed-term)
keywords:
PDEs, visual cortex, differential geometry, sub-Riemannian geometry, contact structures, PDEs on cortical models
Gianluca Giacchi
PhD Student
keywords:
Harmonic Analysis, Complex Analysis, Compressed Sensing Theory for MRI
Loredana Lanzani
Full Professor
keywords:
harmonic analysis; one and several complex variables; elliptic equations
Giacomo Lucertini
Research fellow
keywords:
Stochastic Differential Equation (SDE), Partial Differential Equation (PDE), Fundamental solution
Martino Lupini
Full Professor
keywords:
Descriptive Set Theory, Category Theory, Homological Algebra, Algebraic Topology, Operator Algebra, Ergodic Theory,
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Vittorio Martino
Full Professor
keywords:
Geometric and nonlinear analysis
Annamaria Montanari
Full Professor
keywords:
Fully nonlinear degenerate elliptic PDE's, Subelliptic PDE's, SubRiemannian structures
Marco Mughetti
Associate Professor
keywords:
sums of squares of vector fields, hypoellipticity, a priori estimates, pseudodifferential operators
Alberto Parmeggiani
Full Professor
keywords:
Geometric analysis of PDEs, Solvability, Lower-bound estimates, Spectral theory
Andrea Pascucci
Full Professor
keywords:
Stochastic analysis, Stochastic (ordinary and partial) differential equations, Hypoelliptic equations,
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Arianna Scaravelli
PhD Student
Maria Carla Tesi
Associate Professor
keywords:
mathematical models of AD, Carnot groups, differential forms, compensated compactness, homogenization, statistical
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Davide Tramontana
PhD Student
Eugenio Vecchi
Associate Professor
keywords:
Local and nonlocal elliptic PDEs, Qualitative properties of solutions, Geometric analysis