Model predictive control of nonlinear stochastic partial differential equations with application to a sputtering process

AIChE Journal ◽  
2008 ◽  
Vol 54 (8) ◽  
pp. 2065-2081 ◽  
Author(s):  
Yiming Lou ◽  
Gangshi Hu ◽  
Panagiotis D. Christofides
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Model Predictive Control ◽  
Predictive Control ◽  
Stochastic Partial Differential Equations ◽  
Partial Differential

scholarly journals Existence of weak solutions to SPDEs with fractional Laplacian and non-Lipschitz coefficients

2021 ◽  
Author(s):  
Shohei Nakajima
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Weak Solutions ◽  
Stochastic Partial Differential Equations ◽  
Fractional Laplacian ◽  
Existence Of Solutions ◽  
Partial Differential ◽  
Continuity Theorem ◽  
Existence Of Weak Solutions ◽  
One Dimensional

AbstractWe prove existence of solutions and its properties for a one-dimensional stochastic partial differential equations with fractional Laplacian and non-Lipschitz coefficients. The method of proof is eatablished by Kolmogorov’s continuity theorem and tightness arguments.

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