Translator Disclaimer
May/June 2021 Continuity of the data-to-solution map for the FORQ equation in Besov spaces
John Holmes, Feride Tiğlay, Ryan Thompson
Differential Integral Equations 34(5/6): 295-314 (May/June 2021).

Abstract

For Besov spaces $B^s_{p,r}(\mathbb R)$ with $s > \max\{ 2 + \frac1p , \frac52\} $, $p \in (1,\infty]$ and $r \in [1 , \infty)$, it is proved that the data-to-solution map for the FORQ equation is not uniformly continuous from $B^s_{p,r}(\mathbb R)$ to $C([0,T]; B^s_{p,r}(\mathbb R))$. The proof of non-uniform dependence is based on approximate solutions, the Littlewood-Paley decomposition and estimates on the linear transport equation.

Citation

Download Citation

John Holmes. Feride Tiğlay. Ryan Thompson. "Continuity of the data-to-solution map for the FORQ equation in Besov spaces." Differential Integral Equations 34 (5/6) 295 - 314, May/June 2021.

Information

Published: May/June 2021
First available in Project Euclid: 15 April 2021

Subjects:
Primary: 35Q35 , 35Q80

Rights: Copyright © 2021 Khayyam Publishing, Inc.

JOURNAL ARTICLE
20 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.34 • No. 5/6 • May/June 2021
Back to Top