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arXiv · 1409.3209

Probabilistic well-posedness for the nonlinear wave equation on $B_2\times\mathbb{T}$

Aynur Bulut
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Abstract

We establish probabilistic well-posedness results for the subcubic nonlinear wave equation, posed on the domain $B_2\times\mathbb{T}$, with randomly chosen initial data having radial symmetry in the $B_2$ variable, and with vanishing Dirichlet boundary conditions on $\partial B_2\times\mathbb{T}$.

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Aynur Bulut. 2014-09-10. Probabilistic well-posedness for the nonlinear wave equation on $B_2\times\mathbb{T}$. https://arxiv.org/abs/1409.3209

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