Asymptotics of Semigroup Kernels; Lie Groups of Polynominal Growth and Almost-periodic Operators

  • Robinson, Derek (PI)

    Project: Research

    Project Details

    Description

    The solutions of parabolic evolution equations are described by semigroups with bounded integrable kernels. The asymptotic behaviour of the kernels gives fundamental information on the flow. It is planned to study the asymptotics on Lie groups of polynomial growth and for operators with almost-periodic coefficients. The two situations are closely related. The analysis requires extension of standard homogenisation theory together with spectral theory of almost-periodic operators. The results should give insight into flows on a large class of manifolds with regular structure.
    StatusFinished
    Effective start/end date1/01/0131/12/03

    Funding

    • Australian Research Council (ARC): A$176,000.00

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