English

Global boundedness of multilinear Fourier integral operators

Analysis of PDEs 2019-10-15 v1 Mathematical Physics math.MP

Abstract

We establish global regularity of multilinear Fourier integral operators that are associated to nonlinear wave equations on product of LpL^p spaces by proving endpoint boundedness on suitable products spaces containing combinations of the local Hardy space, the local BMO and the L2L^2 spaces.

Keywords

Cite

@article{arxiv.1910.05824,
  title  = {Global boundedness of multilinear Fourier integral operators},
  author = {Salvador Rodriguez-Lopez and David Rule and Wolfgang Staubach},
  journal= {arXiv preprint arXiv:1910.05824},
  year   = {2019}
}

Comments

40 pages, 1 figure