報告題目:Monotonicity of solutions for fractional equations with De Giorgi type nonlinearities
報 告 人:武樂雲副研究員 上海交通大學
報告時間:2020年6月6日 16:00-17:00
報告地點:騰訊會議 ID:156 397 795
密碼:606606
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校内聯系人:郭斌 bguo@jlu.edu.cn
報告摘要:
In this talk, we introduce a sliding method for the fractional Laplacian. We first obtain the key ingredients needed in the sliding method either in a bounded domain or in the whole space, such as narrow region principles and maximum principles in unbounded domains. Then using semi-linear equations involving the fractional Laplacian in both bounded domains and in the whole space, we illustrate how this new sliding method can be employed to obtain monotonicity of solutions.
報告人簡介:
武樂雲,上海交通大學數學科學學院博士後。主要從事分數階拉普拉斯的研究. 在Adv. Math, DCDS等在雜志上發表多篇高水平SCI論文.