Corrigendum to "On the stochastic Allen–Cahn equation on networks with multiplicative noise" [Electron. J. Qual. Theory Differ. Equ. 2021, No. 7, 1–24]

Abstract

We reprove Proposition 3.8 in our paper that was published in [Electron. J. Qual. Theory Differ. Equ. 2021, No. 7, 1–24], to fill a gap in the proof of Corollary 3.7 where the denseness of one of the embeddings does not follow by the original arguments. We further carry out some minor corrections in the proof of Corollary 3.7, in Remark 3.1 and in the formula (3.23) of the original paper.

Keywords

• stochastic evolution equations
• stochastic reaction-diffusion equations on networks
• analytic semigroups
• stochastic allen–cahn equation