C₀-semigroups generated by second order differential operators

Gabriela Raluca Mocanu

Annales Polonici Mathematici, Tome 116 (2016), p. 57-66 / Harvested from The Polish Digital Mathematics Library

Résumé

Let $W (u) (x) = 1 / 2 x^{a} {(1 - x)}^{b} u^{''} (x)$ with a,b ≥ 2. We consider the C₀-semigroups generated by this operator on the spaces of continuous functions, respectively square integrable functions. The connection between these semigroups together with suitable approximation processes is studied. Also, some qualitative and quantitative properties are derived.

Publié le : 2016-01-01

Zbl 06545356

EUDML-ID : urn:eudml:doc:281062

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     author = {Gabriela Raluca Mocanu},
     title = {C0-semigroups generated by second order differential operators},
     journal = {Annales Polonici Mathematici},
     volume = {116},
     year = {2016},
     pages = {57-66},
     zbl = {06545356},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap3737-12-2015}
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Gabriela Raluca Mocanu. C₀-semigroups generated by second order differential operators. Annales Polonici Mathematici, Tome 116 (2016) pp. 57-66. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap3737-12-2015/