Finite speed of propagation for the 2- and 3-dimensional multiplicative stochastic wave equation

Immanuel Zachhuber

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arXiv · 2110.08086

Finite speed of propagation for the 2- and 3-dimensional multiplicative stochastic wave equation

Immanuel Zachhuber

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Abstract

We prove finite speed of propagation for the multiplicative stochastic wave equation in two and three dimensions which leads us to a global space-time well-posedness result for the cubic nonlinear equation in the analogue of the energy space.

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Immanuel Zachhuber. 2021-10-15. Finite speed of propagation for the 2- and 3-dimensional multiplicative stochastic wave equation. https://arxiv.org/abs/2110.08086

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