C₀-semigroups generated by second order differential operators

• Autorzy: Gabriela Raluca Mocanu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47D06: One-parameter semigroups and linear evolution equations
• 47D07: Markov semigroups and applications to diffusion processes
• 47B65: Positive operators and order-bounded operators
• 47F05: Partial differential operators (should also be assigned at least one other classification number in section 47)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2016
• Tom: 116
• Numer: 1
• Strony: 57-66

Daty

wydano

2016

Twórcy

autor

Gabriela Raluca Mocanu

• Astronomical Institute, Astronomical Observatory Cluj-Napoca, Romanian Academy, 15 Cireşilor St., 400487 Cluj-Napoca, Romania

Identyfikatory

DOI

10.4064/ap3737-12-2015