Da Prato-Zabczyk's maximal inequality revisited. I

Seidler, Jan

Mathematica Bohemica, Tome 118 (1993) no. 1, pp. 67-106

Abstract (VO)

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.

Détail

DOI : 10.21136/MB.1993.126013

Classification : 35R60, 60H15
Keywords: existence; uniqueness; regularity; mild solutions; semilinear non- autonomous stochastic parabolic equations; locally Lipschitzian nonlinear terms; factorization method; stochastic evolution equations; regularity properties

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