C₀-semigroups generated by second order differential operators

Gabriela Raluca Mocanu. "C₀-semigroups generated by second order differential operators." Annales Polonici Mathematici 116.1 (2016): 57-66. <http://eudml.org/doc/281062>.

@article{GabrielaRalucaMocanu2016,
abstract = {Let $W(u)(x) = 1/2 x^a (1-x)^b u^\{\prime \prime \}(x)$ 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.},
author = {Gabriela Raluca Mocanu},
journal = {Annales Polonici Mathematici},
keywords = {C0-semigroup; asymptotic behaviour; approximation process; rate of convergence},
language = {eng},
number = {1},
pages = {57-66},
title = {C₀-semigroups generated by second order differential operators},
url = {http://eudml.org/doc/281062},
volume = {116},
year = {2016},
}

TY - JOUR
AU - Gabriela Raluca Mocanu
TI - C₀-semigroups generated by second order differential operators
JO - Annales Polonici Mathematici
PY - 2016
VL - 116
IS - 1
SP - 57
EP - 66
AB - Let $W(u)(x) = 1/2 x^a (1-x)^b u^{\prime \prime }(x)$ 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.
LA - eng
KW - C0-semigroup; asymptotic behaviour; approximation process; rate of convergence
UR - http://eudml.org/doc/281062
ER -