TY  -  
T1  - A central limit theorem for the stochastic heat equation 
SN  -  /  
UR  - http://hdl.handle.net/10138/335658 
T3  -  
A1  - Huang, Jingyu; Nualart, David; Viitasaari, Lauri 
A2  -  
PB  -  
Y1  - 2020 
LA  - eng 
AB  - We consider the one-dimensional stochastic heat equation driven by a multiplicative space-time white noise. We show that the spatial integral of the solution from -R to R converges in total variance distance to a standard normal distribution as R tends to infinity, after renormalization. We also show a functional version of this central limit theorem. (C) 2020 Elsevier B.V. All rights reserved.... 
VO  -  
IS  -  
SP  -  
OP  -  
KW  - Stochastic heat equation; Central limit theorem; Malliavin calculus; Stein's method; CHAOTIC CHARACTER; 111 Mathematics 
N1  -   
PP  -  
ER  -