Scaling and Saturation in Infinite-Dimensional Control Problems with Applications to Stochastic Partial Differential Equations
Publication
, Journal Article
Glatt-Holtz, NE; Herzog, DP; Mattingly, JC
Published in: Annals of PDE
June 30, 2017
We establish the dual notions of scaling and saturation from geometric control theory in an infinite-dimensional setting. This generalization is applied to the low-mode control problem in a number of concrete nonlinear partial differential equations. We also develop applications concerning associated classes of stochastic partial differential equations (SPDEs). In particular, we study the support properties of probability laws corresponding to these SPDEs as well as provide applications concerning the ergodic and mixing properties of invariant measures for these stochastic systems.
Duke Scholars
Published In
Annals of PDE
Publication Date
June 30, 2017
Citation
APA
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Glatt-Holtz, N. E., Herzog, D. P., & Mattingly, J. C. (2017). Scaling and Saturation in Infinite-Dimensional Control Problems with
Applications to Stochastic Partial Differential Equations (Accepted). Annals of PDE.
Glatt-Holtz, N. E., D. P. Herzog, and J. C. Mattingly. “Scaling and Saturation in Infinite-Dimensional Control Problems with
Applications to Stochastic Partial Differential Equations (Accepted).” Annals of PDE, June 30, 2017.
Glatt-Holtz NE, Herzog DP, Mattingly JC. Scaling and Saturation in Infinite-Dimensional Control Problems with
Applications to Stochastic Partial Differential Equations (Accepted). Annals of PDE. 2017 Jun 30;
Glatt-Holtz, N. E., et al. “Scaling and Saturation in Infinite-Dimensional Control Problems with
Applications to Stochastic Partial Differential Equations (Accepted).” Annals of PDE, June 2017.
Glatt-Holtz NE, Herzog DP, Mattingly JC. Scaling and Saturation in Infinite-Dimensional Control Problems with
Applications to Stochastic Partial Differential Equations (Accepted). Annals of PDE. 2017 Jun 30;
Published In
Annals of PDE
Publication Date
June 30, 2017