Random Set Solutions to Stochastic Wave Equations
Abstract
This paper is devoted to three topics. First, to prove a measurability theorem for multifunctions with values in non-metrizable spaces, which is required to show that solutions to stochastic wave equations with interval parameters are random sets; second, to apply the theorem to wave equations in any space dimension; and third, to compute upper and lower probabilities of the values of the solution in the case of one space dimension.
Cite
Text
Oberguggenberger and Wurzer. "Random Set Solutions to Stochastic Wave Equations." Proceedings of the Eleventh International Symposium on Imprecise Probabilities: Theories and Applications, 2019.Markdown
[Oberguggenberger and Wurzer. "Random Set Solutions to Stochastic Wave Equations." Proceedings of the Eleventh International Symposium on Imprecise Probabilities: Theories and Applications, 2019.](https://mlanthology.org/isipta/2019/oberguggenberger2019isipta-random/)BibTeX
@inproceedings{oberguggenberger2019isipta-random,
title = {{Random Set Solutions to Stochastic Wave Equations}},
author = {Oberguggenberger, Michael and Wurzer, Lukas},
booktitle = {Proceedings of the Eleventh International Symposium on Imprecise Probabilities: Theories and Applications},
year = {2019},
pages = {314-323},
volume = {103},
url = {https://mlanthology.org/isipta/2019/oberguggenberger2019isipta-random/}
}