Abstract
We establish a Chung-type law of the iterated logarithm for the solutions of a class of stochastic heat equations driven by a multiplicative noise whose coefficient depends on the solution, and this dependence takes us away from Gaussian setting. Based on the literature on small ball probabilities and the technique of freezing coefficients, the limiting constant in Chung’s law of the iterated logarithm can be evaluated almost surely.
Acknowledgments
The author would like to thank his advisor Professor Carl Mueller and the anonymous referees for constructive comments.
Citation
Jiaming Chen. "Chung’s law of the iterated logarithm for a class of stochastic heat equations." Electron. Commun. Probab. 28 1 - 7, 2023. https://doi.org/10.1214/23-ECP542
Information