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

• Main Authors: Mihály Kovács, Eszter Sikolya
• Format: Article
• Language: English
• Published: University of Szeged 2021-07-01
• Series: Electronic Journal of Qualitative Theory of Differential Equations
• Subjects: stochastic evolution equations; stochastic reaction-diffusion equations on networks; analytic semigroups; stochastic allen–cahn equation
• Online Access: http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=9104

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.