Nonexistence of extremals for the adjoint restriction inequality on the hyperboloid
Classical Analysis and ODEs
2017-12-29 v4 Analysis of PDEs
Abstract
We study the problem of existence of extremizers for the to adjoint Fourier restriction inequalities on the hyperboloid in dimensions 3 and 4, in which cases is an even integer. We will use the method developed by Foschi to show that extremizers do not exist.
Keywords
Cite
@article{arxiv.1108.6324,
title = {Nonexistence of extremals for the adjoint restriction inequality on the hyperboloid},
author = {René Quilodrán},
journal= {arXiv preprint arXiv:1108.6324},
year = {2017}
}
Comments
32 pages. Correction for Theorem 1.2 and Proposition 7.5 and addition of Remark 1.3