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, issue 1

Abstract: We introduce the wave front set WF*P(u) with respect to the iterates of a hypoelliptic linear partial differential operator with constant coefficients of a classical distribution u ∈ 𝒟′(Ω) 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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https://doi.org/10.1155/2014/438716

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:438716

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