Published April 8, 2015 | Version v1
Publication

Stabilisation of linear PDEs by Stratonovich noise

Description

Some results concerning the stability and stabilisation of stochastic linear partial differential equations in the sense of Stratonovich are proved. The main result ensures that a deterministic linear PDE can be stabilised by adding a suitable Stratonovich noise if and only if the linear partial di erential operator has negative trace.

Additional details

Created:
March 27, 2023
Modified:
December 1, 2023