Averaging principle for a stochastic cable equation
Open Access
- 21 December 2020
- journal article
- research article
- Published by VTeX in Modern Stochastics: Theory and Applications
- Vol. 7 (4), 449-467
- https://doi.org/10.15559/20-vmsta168
Abstract
Publisher: VTeX - Solutions for Science Publishing, Journal: Modern Stochastics - Theory and Applications, Title: Averaging principle for a stochastic cable equation, Authors: Iryna Bodnarchuk , We consider the cable equation in the mild form driven by a general stochastic measure. The averaging principle for the equation is established. The rate of convergence is estimated. The regularity of the mild solution is also studied. The orders in time and space variables in the Holder condition for the solution are improved in comparison with previous results in the literature on this topic.Keywords
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