A Unified Controllability/Observability Theory for Some Stochastic and Deterministic Partial Differential Equations
نویسنده
چکیده
The purpose of this paper is to present a universal approach to the study of controllability/observability problems for infinite dimensional systems governed by some stochastic/deterministic partial differential equations. The crucial analytic tool is a class of fundamental weighted identities for stochastic/deterministic partial differential operators, via which one can derive the desired global Carleman estimates. This method can also give a unified treatment of the stabilization, global unique continuation, and inverse problems for some stochastic/deterministic partial differential equations. Mathematics Subject Classification (2010). Primary 93B05; Secondary 35Q93, 93B07.
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تاریخ انتشار 2010