数学
贝索夫空间
乘数(经济学)
多孔介质
傅里叶变换
收缩(语法)
数学分析
初值问题
纯数学
多孔性
插值空间
功能分析
地质学
基因
医学
内科学
生物化学
宏观经济学
经济
化学
岩土工程
作者
Weiliang Xiao,Yu Zhang
出处
期刊:Journal of Applied Mathematics and Physics
[Scientific Research Publishing, Inc.]
日期:2022-01-01
卷期号:10 (01): 91-111
标识
DOI:10.4236/jamp.2022.101008
摘要
In this paper, we show the existence and regularity of mild solutions depending on the small initial data in Besov spaces to the fractional porous medium equation. When 1 α ≤ 2, we prove global well-posedness for initial data with 1 ≤ p q ≤ ∞, and analyticity of solutions with 1 p q ≤ ∞. In particular, we also proved that when α = 1, both u and belong to . We solve this equation through the contraction mapping method based on Littlewood-Paley theory and Fourier multiplier. Furthermore, we can get time decay estimates of global solutions in Besov spaces, which is as t → ∞.
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