We introduce the wave front set with respect to the iterates of a hypoelliptic linear partial differential operator with constant coefficients of a classical distribution u in an open set Ω in the setting of ultradifferentiable classes of Braun, Meise, and Taylor. We state a version of the microlocal regularity theorem of Hormander for this new type of wave front set and give some examples and applications of the former result.
Wave Front Sets with respect to the Iterates of an Operator with Constant Coefficients
BOITI, Chiara;
2014
Abstract
We introduce the wave front set with respect to the iterates of a hypoelliptic linear partial differential operator with constant coefficients of a classical distribution u in an open set Ω in the setting of ultradifferentiable classes of Braun, Meise, and Taylor. We state a version of the microlocal regularity theorem of Hormander for this new type of wave front set and give some examples and applications of the former result.File in questo prodotto:
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