Wave Front Sets with respect to the Iterates of an Operator with Constant Coefficients
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...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/438716 |
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| author | C. Boiti D. Jornet J. Juan-Huguet |
| author_facet | C. Boiti D. Jornet J. Juan-Huguet |
| author_sort | C. Boiti |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-5eba5fbf0bae4d9f8ecdd616533f54ac |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5eba5fbf0bae4d9f8ecdd616533f54ac2025-08-20T03:34:33ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/438716438716Wave Front Sets with respect to the Iterates of an Operator with Constant CoefficientsC. Boiti0D. Jornet1J. Juan-Huguet2Dipartimento di Matematica e Informatica, Università di Ferrara, Via Machiavelli 35, 44121 Ferrara, ItalyInstituto Universitario de Matemática Pura y Aplicada IUMPA, Universitat Politècnica de València, C/Camino de Vera, S/N, E-46071 Valencia, SpainDepartament de Didàctica de la Matemàtica, Universitat de València, Avenida dels Tarongers 4, 46022 Valencia, SpainWe 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.http://dx.doi.org/10.1155/2014/438716 |
| spellingShingle | C. Boiti D. Jornet J. Juan-Huguet Wave Front Sets with respect to the Iterates of an Operator with Constant Coefficients Abstract and Applied Analysis |
| title | Wave Front Sets with respect to the Iterates of an Operator with Constant Coefficients |
| title_full | Wave Front Sets with respect to the Iterates of an Operator with Constant Coefficients |
| title_fullStr | Wave Front Sets with respect to the Iterates of an Operator with Constant Coefficients |
| title_full_unstemmed | Wave Front Sets with respect to the Iterates of an Operator with Constant Coefficients |
| title_short | Wave Front Sets with respect to the Iterates of an Operator with Constant Coefficients |
| title_sort | wave front sets with respect to the iterates of an operator with constant coefficients |
| url | http://dx.doi.org/10.1155/2014/438716 |
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