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arXiv · 2512.18398

A note on stochastic semilinear dissipative evolution equations

Carlo Marinelli
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Abstract

Existence and uniqueness of mild solutions to a class of semilinear stochastic evolution equations with additive noise is proved. The linear part of the drift term is the generator of a compact semigroup of contractions, while the nonlinear part is only assumed to be the superposition operator associated to a decreasing function.

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Carlo Marinelli. 2025-12-20. A note on stochastic semilinear dissipative evolution equations. https://arxiv.org/abs/2512.18398

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