3 citations · 5 across the 5 of their papers we have counts for
5 papers
A Markov Process Approach to the asymptotic Theory of abstract Cauchy Problems driven by Poisson Processes
Alexander Nerlich
In this paper, we employ Markov process theory to prove asymptotic results for a class of stochastic processes which arise as solutions of a stochastic evolution inclusion and are…
Abstract Cauchy Problems in separable Banach Spaces driven by random Measures: Existence and Uniqueness
Alexander Nerlich
The purpose of this paper is to study stochastic evolution inclusions of the form \begin{align*} η(t,z) N_Θ(dt \otimes z)\in dX(t)+\mathcal{A} X(t)dt, \end{align*} where $\mathcal{…
A randomized weighted -Laplacian evolution equation with Neumann boundary conditions
Alexander Nerlich
The purpose of this paper is to show that the randomized weighted -Laplacian evolution equation given by \begin{align} \label{eveqrand} \begin{cases} U^{\prime}(t)(ω) =\text{Div…
Abstract Cauchy Problems in separable Banach Spaces driven by random Measures: Asymptotic Results in the finite extinction Case
Alexander Nerlich
The aim of this paper is to prove the strong law of large numbers (SLLN) as well as the central limit theorem (CLT) for a class of vector-valued stochastic processes which arise as…
Asymptotic Results for Solutions of a weighted p-Laplacian evolution Equation with Neumann Boundary Conditions
Alexander Nerlich
The purpose of this paper is to investigate the time behavior of the solution of a weighted -Laplacian evolution equation, given by \begin{align} \label{eveq} \begin{cases} u_{t…