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Pullback attractors for stochastic heat equations in materials with memory

Pullback attractors for stochastic heat equations in materials with memory

We study the asymptotic behaviour of a non-autonomous stochastic reaction-diffusion equation with memory. In fact, we prove the existence of a random pullback attractor for our stochastic parabolic PDE with memory. The randomness enters in our model as an additive Hilbert valued noise. We first prove that the equation generates …