For linear parabolic SPDEs with constant additive noise, u belongs to W^{α,2}(D(A^{1/2})) if and only if the noise term x belongs to D(A^α), refuting the Breit and Hofmanová conjecture.
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A Note on a threshold for temporal regularity of stochastic PDEs
For linear parabolic SPDEs with constant additive noise, u belongs to W^{α,2}(D(A^{1/2})) if and only if the noise term x belongs to D(A^α), refuting the Breit and Hofmanová conjecture.