Global weak solutions for a generalized Novikov equation

In the paper, by using vanishing viscosity method, we first show the existence of global weak solutions for a generalized Novikov equation under some sign condition on the initial data. We then prove the stability of weak solutions when solutions are of higher integrability.

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Veröffentlicht in:Monatshefte für Mathematik 2019-02, Vol.188 (2), p.387-400
Hauptverfasser: Zheng, Rudong, Yin, Zhaoyang
Format: Artikel
Sprache:eng
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Zusammenfassung:In the paper, by using vanishing viscosity method, we first show the existence of global weak solutions for a generalized Novikov equation under some sign condition on the initial data. We then prove the stability of weak solutions when solutions are of higher integrability.
ISSN:0026-9255
1436-5081
DOI:10.1007/s00605-017-1131-1