New examples of probabilistic well-posedness for nonlinear wave equations
作者: Chenmin SunNikolay Tzvetkov
作者单位: 1Université de Cergy-Pontoise, UMR 8088 du CNRS, F-95000 Cergy-Pontoise, France
刊名: Journal of Functional Analysis, 2020, Vol.278 (2)
来源数据库: Elsevier Journal
DOI: 10.1016/j.jfa.2019.108322
关键词: Wave equationsGibbs measureUniquenessExponential nonlinearities
原始语种摘要: Abstract(#br)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.
全文获取路径: Elsevier  (合作)
影响因子:1.252 (2012)

  • probabilistic 概率的
  • nonlinear 非线性的
  • arbitrary 任意的
  • exponential 指数的
  • consider 仔细考虑
  • fractional 分级的
  • polynomial 多项式
  • spirit 酒精
  • measures 层组
  • well