Math @ Duke

Publications [#328810] of Jonathan C. Mattingly
Papers Published
 GlattHoltz, NE; Herzog, DP; Mattingly, JC, Scaling and Saturation in InfiniteDimensional Control Problems with
Applications to Stochastic Partial Differential Equations
(June, 2017)
(last updated on 2018/01/16)
Abstract: We establish the dual notions of scaling and saturation from geometric
control theory in an infinitedimensional setting. This generalization is
applied to the lowmode 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.


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