On convergence of population processes in random environments to the stochastic heat equation with colored noise.

Sturm, Anja

Displaying similar documents to “On convergence of population processes in random environments to the stochastic heat equation with colored noise.”

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Anna Milian (1992)

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We prove that under some assumptions a one-dimensional Itô equation has a strong solution concentrated on a finite spatial interval, and the pathwise uniqueness holds.

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Strong and weak solutions to stochastic inclusions

Michał Kisielewicz (1995)

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Existence of strong and weak solutions to stochastic inclusions $x_{t} - x_{s} \in \int_{s}^{t} F_{τ} (x_{τ}) d τ + \int_{s}^{t} G_{τ} (x_{τ}) d w_{τ} + \int_{s}^{t} \int_{ℝ^{n}} H_{τ, z} (x_{τ}) q (d τ, d z)$ and $x_{t} - x_{s} \in \int_{s}^{t} F_{τ} (x_{τ}) d τ + \int_{s}^{t} G_{τ} (x_{τ}) d w_{τ} + \int_{s}^{t} \int_{| z | \leq 1} H_{τ, z} (x_{τ}) q (d τ, d z) + \int_{s}^{t} \int_{| z | > 1} H_{τ, z} (x_{τ}) p (d τ, d z)$ , where p and q are certain random measures, is considered.