TY - JOUR
T1 - Non-autonomous stochastic evolution equations in banach spaces of martingale type 2
T2 - Strict solutions and maximal regularity
AU - Ta, Tôn Viêt
N1 - Funding Information:
2010 Mathematics Subject Classification. Primary: 60H15, 35R60; Secondary: 47D06. Key words and phrases. Evolution operators, stochastic linear evolution equations, strict solutions, maximal regularity, Banach spaces of martingale type 2. The author was supported by JSPS KAKENHI Grant Number 20140047.
PY - 2017/8
Y1 - 2017/8
N2 - This paper is devoted to studying a non-autonomous stochastic linear evolution equation in Banach spaces of martingale type 2. We construct unique strict solutions to the equation and show their maximal regularity. The abstract results are then applied to stochastic diffusion equations.
AB - This paper is devoted to studying a non-autonomous stochastic linear evolution equation in Banach spaces of martingale type 2. We construct unique strict solutions to the equation and show their maximal regularity. The abstract results are then applied to stochastic diffusion equations.
UR - http://www.scopus.com/inward/record.url?scp=85038101156&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85038101156&partnerID=8YFLogxK
U2 - 10.3934/dcds.2017193
DO - 10.3934/dcds.2017193
M3 - Article
AN - SCOPUS:85038101156
SN - 1078-0947
VL - 37
SP - 4507
EP - 4542
JO - Discrete and Continuous Dynamical Systems- Series A
JF - Discrete and Continuous Dynamical Systems- Series A
IS - 8
ER -