Abstract
In this chapter, we consider stochastic PDEs. We address the boundary stabilization problem, which will be of two types: pathwise stabilization and stabilization in mean. Stochastic differential equations can be viewed as a generalization of dynamical systems theory to models with noise. This generalization arises naturally due to the fact that real systems cannot be completely isolated from their environments and for this reason always experience external stochastic influence. Clearly, noise perturbation complicates the problem considerably.
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Munteanu, I. (2019). Stabilization of Stochastic Equations. In: Boundary Stabilization of Parabolic Equations. Progress in Nonlinear Differential Equations and Their Applications(), vol 93. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-11099-4_7
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DOI: https://doi.org/10.1007/978-3-030-11099-4_7
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-11098-7
Online ISBN: 978-3-030-11099-4
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