Establishes optimal local well-posedness for reaction-diffusion SPDEs with non-trace-class multiplicative noise, critical initial-data spaces, instantaneous regularization, and applications to prototypical models.
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A spectral basis truncation in space and quadrature in time is analyzed for approximating fractional stochastic evolution equations, with strong error bounds proved and verified numerically.
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Spectral approximation of a new class of stochastic fractional evolution equations
A spectral basis truncation in space and quadrature in time is analyzed for approximating fractional stochastic evolution equations, with strong error bounds proved and verified numerically.