Geodesic
$C_0$-semigroups generated by second order differential operators
Gabriela Raluca Mocanu1
1Astronomical Institute Astronomical Observatory Cluj-Napoca Romanian Academy 15 Cire\c silor St. 400487 Cluj-Napoca, Romania
Annales Polonici Mathematici, Tome 116 (2016) no. 1, pp. 57-66
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Let $W(u)(x)=\frac {1}{2}x^a(1-x)^bu''(x)$ with $a,b\geq 2$. We consider the $C_0$-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.
DOI : 10.4064/ap3737-12-2015
Keywords: frac x geq consider semigroups generated operator spaces continuous functions respectively square integrable functions connection between these semigroups together suitable approximation processes studied qualitative quantitative properties derived

Gabriela Raluca Mocanu  1

1 Astronomical Institute Astronomical Observatory Cluj-Napoca Romanian Academy 15 Cire\c silor St. 400487 Cluj-Napoca, Romania 
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Gabriela Raluca Mocanu. $C_0$-semigroups generated by second order differential operators. Annales Polonici Mathematici, Tome 116 (2016) no. 1, pp. 57-66. doi: 10.4064/ap3737-12-2015

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