volume 26, issue 9, P4681 2021
DOI: 10.3934/dcdsb.2020308
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Pengyu Chen, Xuping Zhang

Abstract: In this paper, we study the non-autonomous stochastic evolution equations of parabolic type with nonlocal initial conditions in Hilbert spaces, where the operators in linear part (possibly unbounded) depend on time t and generate an evolution family. New existence result of mild solutions is established under more weaker conditions by introducing a new Green's function. The discussions are based on Schauder's fixed-point theorem as well as the theory of evolution family. At last, an example is also given to il…

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