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On the Equivalence of Different Approaches to Stochastic Partial Differential Equations

机译:On the Equivalence of Different Approaches to Stochastic Partial Differential Equations

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AbstractThe solution of a stochastic partial differential equation with white noise disturbance can be treated in two different ways: as a real‐valued random field or as a function‐space valued stochastic process. After introducing these views briefly it is shown that these two approaches are equivalent. Some further results on FOURIER decomposition and on asymptotic behaviour of the linear equation are given and a few comments on the nonlinear case are ad

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