TY  - JOUR
A1  - Debussche, Arnaud
A1  - Högele, Michael
A1  - Imkeller, Peter
T1  - The stochastic chafee-infante equation
T2  - Lecture notes in mathematics : a collection of informal reports and seminars
T2  - Lecture Notes in Mathematics
N2  - In this preparatory chapter, the tools of stochastic analysis needed for the investigation of the asymptotic behavior of the stochastic Chafee-Infante equation are provided. In the first place, this encompasses a recollection of basic facts about Lévy processes with values in Hilbert spaces. Playing the role of the additive noise processes perturbing the deterministic Chafee-Infante equation in the systems the stochastic dynamics of which will be our main interest, symmetric ?-stable Lévy processes are in the focus of our investigation (Sect. 3.1).
Y1  - 2013
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/35284
SN  - 978-3-319-00828-8; 978-3-319-00827-1
SN  - 0075-8434
VL  - 2085
SP  - 45
EP  - 68
PB  - Springer
CY  - Berlin
ER  -