Local well‐posedness of critical nonlinear Schrödinger equation on Zoll manifolds of odd‐growth | Zendy

Zhao Tengfei | Zendy

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Local well‐posedness of critical nonlinear Schrödinger equation on Zoll manifolds of odd‐growth

Author(s) -

Zhao Tengfei

Publication year - 2016

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.3766

Subject(s) - dimension (graph theory) , mathematics , nonlinear system , order (exchange) , space (punctuation) , nonlinear schrödinger equation , pure mathematics , mathematical analysis , schrödinger equation , computer science , physics , quantum mechanics , finance , economics , operating system

In this paper, we study the nonlinear Schrödinger equation on Zoll manifolds with odd order nonlinearities. We will obtain the local well‐poesdness in the critical spaceHs 0( M ) . This extends the recent results in the literature to the Zoll manifolds of dimension d ≥2 with general odd order nonlinearities and also partially improves the previous results in the subcritical spaces of Yang to the critical cases. Copyright © 2015 John Wiley & Sons, Ltd.

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