Spatial analyticity of solutions to the drift-diffusion equation with generalized dissipation

被引：9
作者：
Yamamoto, Masakazu [1 ]
机构：
[1] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan
来源：
ARCHIV DER MATHEMATIK | 2011年 / 97卷 / 03期
关键词：
Drift-diffusion equation; Analyticity estimates; Nonlocal effects; Large initial data; Fractional Laplacian; BESOV-MORREY SPACES; ASYMPTOTIC-BEHAVIOR; SYSTEM; DISTRIBUTIONS;
D O I：
10.1007/s00013-011-0302-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the Cauchy problem for the drift-diffusion equation arising from the model of semiconductor devices. We know the well-posedness, the time global existence and the decay of solutions. We show the spatial analyticity of the solution.
引用
收藏
页码：261 / 270
页数：10
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