mail unicampaniaunicampania webcerca

    Mathematical Analysis Group

    Members

     

    Research Profile

     The research of the Mathematical Analysis group at the Department of Mathematics and Physics of University of Campania “Luigi Vanvitelli” focuses on the study of Dynamical Systems, nonlinear Partial Differential Equations, of issues in Calculus of Variations, and topics in Probability and Statistics, with particular emphasis on problems arising in the context of ecology, economics, elasticity, electromagnetism, electrostatics, ferromagnetism, fluid dynamics, liquid crystals, nonlinear optics, population dynamics, and quantum mechanics. Also, the group is interested in theoretical problems in the fields of Real Analysis and Measure Theory. In particular, the group is interested in studying

    • Geometric variational problems with competing energies.
    • Hardy-type inequalities, weak inequalities for maximal functions, and Carleman estimates.  Isoperimetric inequalities. 
    • Homogenization and dimensional reduction.
    • Qualitative analysis of solutions to PDEs via symmetrization techniques.
    • Real dynamics and linear dynamics on Banach spaces:  stability, chaos and hyperbolic properties.
    • Spectral optimization in elliptic problems.
    • Variational methods and concentration phenomena in nonlinear elliptic systems.
    • Well-posedness, spectral properties, properties of dispersion, unique continuation and uncertainty principles in PDEs.
    • Fractional stochastic processes.
    • Statistical analysis of data and development of numerical algorithms for stochastic models.

     

    facebook logoinstagram buttonyoutube logotype