Allouba, Hassan SDDEs limits solutions to sublinear reaction-diffusion SPDEs. (English) Zbl 1035.60065 Electron. J. Differ. Equ. 2003, Paper No. 111, 21 p. (2003). The author introduces a new definition of solutions to heat-based stochastic partial differential equations (SPDE) driven by space-time white noise, namely “stochastic differential-difference equations (SDDE) limits solutions”. In particular he treats one-spatial-dimensional reaction-diffusion stochastic partial differential equations and, assuming Hölder coefficients, he proves weak existence, uniqueness in law, regularity and dependence on the coefficients. Reviewer: George Stoica (Saint John) Cited in 1 Document MSC: 60H15 Stochastic partial differential equations (aspects of stochastic analysis) 35R60 PDEs with randomness, stochastic partial differential equations Keywords:stochastic partial differential equations; stochastic differential-difference equations; limit solutions; multiscale PDFBibTeX XMLCite \textit{H. Allouba}, Electron. J. Differ. Equ. 2003, Paper No. 111, 21 p. (2003; Zbl 1035.60065) Full Text: arXiv EuDML EMIS