论文信息 - Construction of stochastic inertial manifolds using backward integration

Construction of stochastic inertial manifolds using backward integration

We construct stochastic inertial manifolds for stochastic partial differential equations with multiplicative noise under a spectral gap condition similar to the usual one in the deterministic theory. We use a combination of Lyapunov-Perron and graph transform methods. A very important tool in the construction is the backward integration of stochastic differential equations.

Giuseppe Da Prato | Arnaud Debussche

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