Low regularity solutions, blowup, and global existence for a generalization of Camassa–Holm‐type equation | Zendy

Liu Xingxing | Zendy; Yin Zhaoyang | Zendy

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Low regularity solutions, blowup, and global existence for a generalization of Camassa–Holm‐type equation

Author(s) -

Liu Xingxing,

Yin Zhaoyang

Publication year - 2014

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.2945

Subject(s) - mathematics , camassa–holm equation , generalization , sobolev space , novikov self consistency principle , type (biology) , space (punctuation) , order (exchange) , mathematical analysis , pure mathematics , integrable system , computer science , ecology , finance , economics , biology , operating system

We consider a generalization of Camassa–Holm‐type equation including the Camassa–Holm equation and the Novikov equation. We mainly establish the existence of solutions in lower order Sobolev spaceH s( R ) with 1 < s ≤ 3 2 . Then, we present a precise blowup scenario and give a global existence result of strong solutions. Copyright © 2013 John Wiley & Sons, Ltd.

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