English

Solutions of semilinear wave equation via stochastic cascades

Probability 2009-12-01 v1 Analysis of PDEs

Abstract

We introduce a probabilistic representation for solutions of quasilinear wave equation with analytic nonlinearities. We use stochastic cascades to prove existence and uniqueness of the solution.

Keywords

Cite

@article{arxiv.0911.5450,
  title  = {Solutions of semilinear wave equation via stochastic cascades},
  author = {Yuri Bakhtin and Carl Mueller},
  journal= {arXiv preprint arXiv:0911.5450},
  year   = {2009}
}