A Rigidity Property for the Novikov Equation and the Asymptotic Stability of Peakons

Chen, RM; Lian, W; Wang, DH; Xu, RZ

Lian, W (corresponding author), Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA.; Lian, W (corresponding author), Harbin Engn Univ, Coll Automat, Harbin 150001, Peoples R China.; Lian, W (corresponding author), Harbin Engn Univ, Coll Math Sci, Harbin 150001, Peoples R China.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021; 241 (1): 497

Abstract

We consider weak solutions of the Novikov equation that lie in the energy space H-1 with non-negative momentum densities. We prove that a special fami......

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