The drift–diffusion system in two-dimensional critical Hardy space
The drift–diffusion system in two-dimensional critical Hardy space
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DOI：
10.1016/j.jfa.2008.05.020
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发表时间：
2008-09
影响因子：
1.7
通讯作者：
T. Ogawa;Senjo Shimizu
中科院分区：
文献类型：
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作者：
T. Ogawa;Senjo Shimizu
We establish the time local well-posedness for large data of a solution to two-dimensional drift–diffusion system in the critical Hardy space H1(R2). This solution is obtained in the Hardy class, for which the natural free energy is well defined from the initial time. The time global well-posedness result for small data is also obtained in a similar class. The crucial parts of the proof are to employ the end-point type of maximal regularity for the homogeneous heat equation and some new bilinear estimates in the Hardy space.
