Wave Front Sets with respect to the Iterates of an Operator with Constant Coefficients

C. Boiti, D. Jornet and J. Juan-Huguet

Abstract and Applied Analysis, 2014, vol. 2014, 1-17

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 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 Hörmander for this new type of wave front set and give some examples and applications of the former result.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:438716

DOI: 10.1155/2014/438716

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