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.
Status | Finished |
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Effective start/end date | 1/01/01 → 31/12/03 |
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