一类非线性退化半导体方程弱解存在性的研究
周文华[1,2] 刘继军[2]
[1]淮海工学院数理科学系,江苏连云港222005 [2]东南大学数学系,江苏南京210096
摘 要:
目的研究非线性退化半导体方程在初值u0,v0∈L2+(Ω)的条件下,其混和初边值问题弱解的存在性。方法利用截断的方法先将原问题正则化,对正则化问题的解做估计,并利用紧性引理。结果通过取极限证明了原问题解的存在性。结论在满足一定假设条件下,非线性退化半导体方程存在弱解。[著者文摘]

文章出处:
《西北大学学报:自然科学版》-2007年37卷2期 -191-196页
栏目信息:
分 类 号:
文献标识码:
A
文章编号:
1000-274X(2007)02-0191-06
Existence of solutions on a quasilinear degenerate system arising in semiconductors theory
ZHOU Wen-hua, LIU Ji-jun(1. Department of Mathematics and Physics Science Subjects Huaihai Institute of Technology, Lianyungang 222005, China;2. Department of Mathematics, Southeast University, Nanjing 210096, China)
Abstract:
Aim To prove the existence of the weak solution under appropriate conditions such as initial values u0,v0∈L2+(Ω) when a quasilinear degenerate system arising in semiconductors theory is considered. Methods Make a regularization of the problem by a cut-off method and the compact lemma. Results The limit of the solutions of the regularized problem is a solution of the original problem after estimates. Conclusion The existence of solutions on a quasilinear degenerate system is shown under some conditions.[著者文摘]
Key words:
quasilinear degenerate system ; semiconductors ; existence
基金资助:
国家自然科学基金资助项目(10371018);淮海工学院科研课题基金资助项目(Z2005034)

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