Composition estimates and well-posedness for Hardy?H?non parabolic equations in Besov spaces
Composition estimates and well-posedness for Hardy?H?non parabolic equations in Besov spaces
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Besov空间中Hardy?H?非抛物线方程的组成估计和适定性
DOI：
10.1007/s41808-019-00039-8
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发表时间：
2019
影响因子：
0.8
通讯作者：
Chikami Noboru
中科院分区：
文献类型：
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作者：
Azela Gladya;Manami Tanaka,;Catharina Sagita Moniaga;Masato Yasui、Mariko Hara-Chikuma;Catharina Sagita Moniaga;Catharina Sagita Moniaga;Catharina Sagita Moniaga;Chikami Noboru
在临界Besov空间中考虑了Hardy-Hénon抛物方程的适定性.建立了包含奇异势的热核的线性衰减估计，以及Besov空间中复合算子的一般估计。作为副产品的结果的适定性，小自相似解决方案的存在性。
Well-posedness for the Hardy–Hénon parabolic equation is considered in critical Besov spaces. Linear decay estimates for the heat kernel involving a singular potential is established, as well as general estimates of a composition operator in Besov spaces. As a byproduct of the result on well-posedness, the existence of small self-similar solutions is shown.