کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4609768 | 1338527 | 2014 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Reduced limit for semilinear boundary value problems with measure data
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
We study boundary value problems for semilinear elliptic equations of the form âÎu+gâu=μ in a smooth bounded domain ΩâRN. Let {μn} and {νn} be sequences of measure in Ω and âΩ respectively. Assume that there exists a solution un with data (μn,νn), i.e., un satisfies the equation with μ=μn and has boundary trace νn. Further assume that the sequences of measures converge in a weak sense to μ and ν respectively while {un} converges to u in L1(Ω). In general u is not a solution of the boundary value problem with data (μ,ν). However there exists a pair of measures (μâ,νâ) such that u is a solution of the boundary value problem with this data. The pair (μâ,νâ) is called the reduced limit of the sequence {(μn,νn)}. We investigate the relation between the weak limit and the reduced limit and the dependence of the latter on the sequence. A closely related problem was studied by Marcus and Ponce [3].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 256, Issue 8, 15 April 2014, Pages 2691-2710
Journal: Journal of Differential Equations - Volume 256, Issue 8, 15 April 2014, Pages 2691-2710
نویسندگان
Mousomi Bhakta, Moshe Marcus,