scholarly journals Optimal control of a stochastic heat equation with boundary-noise and boundary-control

2007 ◽  
Vol 13 (1) ◽  
pp. 178-205 ◽  
Author(s):  
Arnaud Debussche ◽  
Marco Fuhrman ◽  
Gianmario Tessitore
2014 ◽  
Vol 3 (1) ◽  
pp. 35-58 ◽  
Author(s):  
Fulvia Confortola ◽  
◽  
Elisa Mastrogiacomo ◽  

2020 ◽  
Vol 21 (01) ◽  
pp. 2150002
Author(s):  
Yuliya Mishura ◽  
Kostiantyn Ralchenko ◽  
Mounir Zili ◽  
Eya Zougar

We introduce a fractional stochastic heat equation with second-order elliptic operator in divergence form, having a piecewise constant diffusion coefficient, and driven by an infinite-dimensional fractional Brownian motion. We characterize the fundamental solution of its deterministic part, and prove the existence and the uniqueness of its solution.


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