On the Dirichlet problem associated with the Dunkl Laplacian

Mohamed Ben Chrouda

Annales Polonici Mathematici, Tome 116 (2016), p. 79-87 / Harvested from The Polish Digital Mathematics Library

Résumé

This paper deals with the questions of the existence and uniqueness of a solution to the Dirichlet problem associated with the Dunkl Laplacian $Δ_{k}$ as well as the hypoellipticity of $Δ_{k}$ on noninvariant open sets.

Publié le : 2016-01-01

Zbl 06602757

EUDML-ID : urn:eudml:doc:286438

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     author = {Mohamed Ben Chrouda},
     title = {On the Dirichlet problem associated with the Dunkl Laplacian},
     journal = {Annales Polonici Mathematici},
     volume = {116},
     year = {2016},
     pages = {79-87},
     zbl = {06602757},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap3751-12-2015}
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Mohamed Ben Chrouda. On the Dirichlet problem associated with the Dunkl Laplacian. Annales Polonici Mathematici, Tome 116 (2016) pp. 79-87. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap3751-12-2015/