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The moment and almost surely exponential stability of stochastic heat equations. (English) Zbl 1147.93395
Summary: The $$p$$-th moment and almost surely exponential stability of the strong solution to a stochastic heat equation driven by an $$m$$-dimensional Brownian motion is investigated by a simple method. In particular, the sharp top Lyapunov exponents are explicitly calculated based on the representation of the strong solution.

##### MSC:
 93D20 Asymptotic stability in control theory 60H15 Stochastic partial differential equations (aspects of stochastic analysis) 35R60 PDEs with randomness, stochastic partial differential equations 35K05 Heat equation
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##### References:
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