Analysis

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Keywords: fractional Laplacians, elliptic equations, higher-order operators, large solutions

Keywords: integrable Hamiltonian Systems, exact solutions, asymptotic behaviour of solutions in space time, direct and inverse spectral problems, application of algebraic combinatorics to integrable systems, Leggi di più

Keywords: viscosity solutions, Hamilton-Jacobi equations, analytic hypoellipticity

Keywords: potential theory, spaces of holomorphic functions, integral inequalities

Keywords: Compensated compactness, Carnot groups, Differential forms, Poincaré Inequalities, Homogenization

Keywords: Carnot Groups, Sub-Laplacians, Campbell-Baker-Hausdorff formula, Potential Theory, Stratified Groups, Leggi di più

Keywords: Pdes, Viscosity solutions for Pdes, Free boundary problems

Keywords: Analytic and Gevrey Hypoellipticity for sums of squares, Global regularity for sums of squares defined on the torus, Local and global perturbation problem for analytic linear partial differential operators, Analytic/Gevrey regularity of analytic/Gevrey vectors for linear partial differential operators

Keywords: Partial Differential Equations, Calculus of Variations

Keywords: Elliptic nonlocal equations, nonlocal minimal surfaces, fractional mean curvature flow

Keywords: Analysis in Lie groups and subriemannian structures, surfaces in subriemannian setting, subelliptic equations, regularity at the boundary, models of visual cortex, Leggi di più

Keywords: divergence-measure fields, Gauss-Green formulas, fractional Sobolev spaces, fractional gradient

Keywords: Elliptic equations, Calculus of variations

Keywords: Wentzell boundary conditions, Elliptic problems, Functional calculus, Maximal regularity

Keywords: Measures of curvatures, Carnot-Charathéodory distance, Free boundary problems, Carnot groups, Elliptic and Subelliptic operators, Leggi di più

Keywords: PDEs, sub-Riemannian geometry, contact geometry, differential geometry, optimal transport, Leggi di più

Keywords: Analytic number theory

Keywords: Elliptic and Parabolic Free boundary problems, Nonlocal Equations, Calculus of Variations, Subelliptic Operators, Viscosity solutions, Leggi di più

Keywords: harmonic analysis; one and several complex variables; elliptic equations

Keywords: Descriptive Set Theory, Category Theory, Homological Algebra, Algebraic Topology, Operator Algebra, Leggi di più

Keywords: Geometric and nonlinear analysis

Keywords: Fully nonlinear degenerate elliptic PDE's, Subelliptic PDE's, SubRiemannian structures

Keywords: sums of squares of vector fields, hypoellipticity, a priori estimates, pseudodifferential operators

Keywords: Geometric analysis of PDEs, Solvability, Lower-bound estimates, Spectral theory

Keywords: Stochastic analysis, Stochastic (ordinary and partial) differential equations, Hypoelliptic equations, Kolmogorov-Fokker-Planck equations, Optimal stopping and free boundary problems

Keywords: mathematical models of AD, Carnot groups, differential forms, compensated compactness, homogenization, Leggi di più

Keywords: Local and nonlocal elliptic PDEs, Qualitative properties of solutions

Analysis

Research groups

Projects

People

Nicola Abatangelo

Simonetta Abenda

Paolo Albano

Nicola Arcozzi

Annalisa Baldi

Andrea Bonfiglioli

Enrico Caneti

Gregorio Chinni

Simone Ciani

Eleonora Cinti

Giovanna Citti

Giovanni Eugenio Comi

Giovanni Cupini

Giovanni Dore

Guido Drei

Serena Federico

Fausto Ferrari

Mattia Francesco Galeotti

Alessandro Gambini

Davide Giovagnoli

Loredana Lanzani

Martino Lupini

Vittorio Martino

Annamaria Montanari

Marco Mughetti

Alberto Parmeggiani

Andrea Pascucci

Arianna Scaravelli

Maria Carla Tesi

Eugenio Vecchi