Scaling and Saturation in Infinite-Dimensional Control Problems with Applications to Stochastic Partial Differential Equations

dc.contributor.author

Glatt-Holtz, NE

dc.contributor.author

Herzog, DP

dc.contributor.author

Mattingly, JC

dc.date.accessioned

2017-07-27T16:18:56Z

dc.date.available

2017-07-27T16:18:56Z

dc.date.issued

2017-07-27

dc.description.abstract

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.

dc.identifier

http://arxiv.org/abs/1706.01997v1

dc.identifier.uri

https://hdl.handle.net/10161/15100

dc.publisher

Springer Science and Business Media LLC

dc.subject

math.PR

dc.subject

math.PR

dc.subject

math.AP

dc.subject

math.DS

dc.subject

35Q35, 35R60, 60H15, 60H07, 76F70

dc.title

Scaling and Saturation in Infinite-Dimensional Control Problems with Applications to Stochastic Partial Differential Equations

dc.type

Journal article

duke.contributor.orcid

Mattingly, JC|0000-0002-1819-729X

pubs.author-url

http://arxiv.org/abs/1706.01997v1

pubs.organisational-group

Duke

pubs.organisational-group

Mathematics

pubs.organisational-group

Statistical Science

pubs.organisational-group

Trinity College of Arts & Sciences

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
1706.01997v1.pdf
Size:
1.62 MB
Format:
Adobe Portable Document Format
Description:
Submitted version