New examples of probabilistic well-posedness for nonlinear wave equations
Analysis of PDEs
2019-09-24 v2
Abstract
We consider fractional wave equations with exponential or arbitrary polynomial nonlinearities. We prove the global well-posedness on the support of the corresponding Gibbs measures. We provide ill-posedness constructions showing that the results are truly super-critical in the considered functional setting. We also present a result in the case of a general randomisation in the spirit of the work by N. Burq and the second author.
Keywords
Cite
@article{arxiv.1903.04441,
title = {New examples of probabilistic well-posedness for nonlinear wave equations},
author = {Chenmin Sun and Nikolay Tzvetkov},
journal= {arXiv preprint arXiv:1903.04441},
year = {2019}
}
Comments
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