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

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• 作者：Tengfei Zhao
• 刊名：Mathematical Methods in the Applied Sciences
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：39
• 期：12
• 页码：3226-3242
• 全文大小：327K
• ISSN：1099-1476

文摘

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 space math-equation-construct">mage="true" class="math-equation-image">mathml="true" class="math-equation-mathml" style="display:none">math xmlns:mml="http://www.w3.org/1998/Math/MathML">Hs0(M)math>. 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