Codice  QDD 97 
Titolo  Sharp twosided heat kernel estimates of twisted tubes and applications 
Data  20110506 
Autore/i  Grillo, G.; Kovarik, H.; Pinchover, Y. 
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Abstract  We prove sharp ondiagonal bounds for the heat kernel of the Dirichlet Laplacian in locally twisted threedimensional tubes. Such bounds show that any, suitably regular, local twisting speeds up the decay of the heat kernel with respect to the case of straight (untwisted) tubes. Moreover, the above large time decay is valid for a wide class of subcritical operators defined on a straight tube.
We also discuss some applications of this result, such as Sobolev inequalities and spectral estimates for Schroedinger operators.

