期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
The Global Solution of the Focused Energy-critical Fractional Schrödinger Equation
摘要/Abstract
摘要：
讨论了聚焦能量临界分数阶薛定谔方程，得到了在临界Hα范数意义下,聚焦能量临界分数阶薛定谔方程解的紧性及其在阈值混合行为下解的存在性.证明的关键在于聚焦能量临界分数阶薛定谔方程解的紧性引理.具体来说，利用Arzelà-Ascoli定理证明了聚焦能量临界分数阶薛定谔方程阈值解的存在性.
Abstract：
We discuss the focused energy-critical fractional Schrödinger equation，and obtain the compactness of the solution of its solution sense of critical Hα-norm and the existence of the solution under the mixed behavior of threshold values.The key to proof lies in the compactness lemma of the solution of the focused energy-critical fractional Schrödinger equation.Specifically，the existence of threshold solutions for the focused energy-critical fractional Schrödinger equation was proven using the Arzelà-Ascoli theorem.
关键词
参考文献 12
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