Solutions of semilinear wave equation via stochastic cascades

Yuri Bakhtin; Carl Mueller

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arXiv · 0911.5450

Solutions of semilinear wave equation via stochastic cascades

Yuri Bakhtin·Carl Mueller

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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.

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Yuri Bakhtin, Carl Mueller. 2009-11-29. Solutions of semilinear wave equation via stochastic cascades. https://arxiv.org/abs/0911.5450

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