Global existence of solutions for the drift-diffusion system with large initial data in (B) over dot∞,∞-2 (Rd)

被引：0

作者：

Zhao, Jihong ^{[1
]}

Jin, Rong ^{[1
]}

Chen, Hao ^{[1
]}

机构：

[1] Baoji Univ Arts & Sci, Sch Math & Informat Sci, Baoji 721013, Shaanxi, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2024年 / 80卷

基金：

中国国家自然科学基金;

关键词：

Drift-diffusion system; Global existence; Large solutions; Besov spaces; LONG-TIME BEHAVIOR; WELL-POSEDNESS; CARRIER TRANSPORT; BASIC EQUATIONS; NERNST-PLANCK; BESOV; DECAY;

D O I：

10.1016/j.nonrwa.2024.104145

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the Cauchy problem of the drift-diffusion system arising from semiconductor model. We prove that if a certain nonlinear function of the initial data is small enough, in a Besov type space, then there is a global solution to this drift-diffusion system. We also provide an example of initial data satisfying that nonlinear smallness condition, but whose norm be chosen arbitrarily large in (B) over dot(infinity,infinity)(-2)(R-d).

引用

页数：10

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