Geodesic
Fine scales of decay of operator semigroups
Journal of the European Mathematical Society, Tome 18 (2016) no. 4, pp. 853-929.

Voir la notice de l'article provenant de la source EMS Press

Motivated by potential applications to partial differential equations, we develop a theory of fine scales of decay rates for operator semigroups. The theory contains, unifies, and extends several notable results in the literature on decay of operator semigroups and yields a number of new ones. Its core is a new operator-theoretical method of deriving rates of decay combining ingredients from functional calculus and complex, real and harmonic analysis. It also leads to several results of independent interest.
DOI : 10.4171/jems/605
Classification : 47-XX, 34-XX
Keywords: 
@article{JEMS_2016_18_4_a5,
     author = {Charles J.K. Batty and Ralph Chill and Yuri Tomilov},
     title = {Fine scales of decay of operator semigroups},
     journal = {Journal of the European Mathematical Society},
     pages = {853--929},
     publisher = {mathdoc},
     volume = {18},
     number = {4},
     year = {2016},
     doi = {10.4171/jems/605},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/605/}
}
TY  - JOUR
AU  - Charles J.K. Batty
AU  - Ralph Chill
AU  - Yuri Tomilov
TI  - Fine scales of decay of operator semigroups
JO  - Journal of the European Mathematical Society
PY  - 2016
SP  - 853
EP  - 929
VL  - 18
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/605/
DO  - 10.4171/jems/605
ID  - JEMS_2016_18_4_a5
ER  - 
%0 Journal Article
%A Charles J.K. Batty
%A Ralph Chill
%A Yuri Tomilov
%T Fine scales of decay of operator semigroups
%J Journal of the European Mathematical Society
%D 2016
%P 853-929
%V 18
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/605/
%R 10.4171/jems/605
%F JEMS_2016_18_4_a5
Charles J.K. Batty; Ralph Chill; Yuri Tomilov. Fine scales of decay of operator semigroups. Journal of the European Mathematical Society, Tome 18 (2016) no. 4, pp. 853-929. doi : 10.4171/jems/605. http://geodesic.mathdoc.fr/articles/10.4171/jems/605/

Cité par Sources :