Dettagli seminario

    Titolo:
    Spectral multipliers and wave equation for sub-Laplacians
    Data e ora:
    Mer, 22 Giugno 2022, 17:00 - 18:00
    Sede:
    Dipartimento di Scienze Matematiche "G.L. Lagrange"/DISMA, Politecnico di Torino, Aula Buzano
    Relatore:
    Prof. Alessio Martini
    Affiliazione:
    Politecnico di Torino
    Proponenti:
    DISMA

    Abstract

    I will present some old and new results about the L^p functional calculus for sub-Laplacians L. It has been known for a long time that, under fairly general assumptions on the 
    sub-Laplacian and the underlying sub-Riemannian structure, an operator of the form F(L) is bounded on L^p (1<p<infinity) whenever the spectral multiplier F satisfies a
    scale-invariant smoothness condition of sufficiently large order. The problem of determining the minimal smoothness assumptions, however, remains widely open and is intimately
    connected with that of proving sharp estimates for the sub-Riemannian wave equation.


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