English

A stochastic Hamilton-Jacobi equation with infinite speed of propagation

Analysis of PDEs 2016-09-28 v1 Probability

Abstract

We give an example of a stochastic Hamilton-Jacobi equation du=H(Du)dξdu = H(Du) d\xi which has an infinite speed of propagation as soon as the driving signal ξ\xi is not of bounded variation.

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Cite

@article{arxiv.1609.08357,
  title  = {A stochastic Hamilton-Jacobi equation with infinite speed of propagation},
  author = {Paul Gassiat},
  journal= {arXiv preprint arXiv:1609.08357},
  year   = {2016}
}

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4 pages