能量不等式和薛定谔流弱解的唯一性

Uniqueness of Schrodinger Flow via Energy Inequality

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摘要本文利用能量估计技巧和Gronwall不等式证明了:全空间R^2中的初值光滑的薛定谔流柯西问题的(弱)解是唯一的. In this short note, we show a uniqueness result of the energy solutions for the Cauchy problem of SchrSdinger flow in the whole space R2 provided there is a smooth solution in the energy class.

作者马力王兢

机构地区河南师范大学中央民族大学理学院

出处《应用数学学报》 CSCD 北大核心 2016年第2期223-228,共6页 Acta Mathematicae Applicatae Sinica

基金国家自然科学基金(No.11271111)资助项目

关键词薛定谔流稳定性唯—性能量解 SchrSdinger flow stability uniqueness energy class solutions

分类号 O212.7 [理学—概率论与数理统计]

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能量不等式和薛定谔流弱解的唯一性

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