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Keywords:
existence; uniqueness; regularity; mild solutions; semilinear non- autonomous stochastic parabolic equations; locally Lipschitzian nonlinear terms; factorization method; stochastic evolution equations; regularity properties
existence; uniqueness; regularity; mild solutions; semilinear non- autonomous stochastic parabolic equations; locally Lipschitzian nonlinear terms; factorization method; stochastic evolution equations; regularity properties
Summary:
Existence, uniqueness and regularity of mild solutions to semilinear nonautonomous stochastic parabolic equations with locally lipschitzian nonlinear terms is investigated. The adopted approach is based on the factorization method due to Da Prato, Kwapień and Zabczyk.
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