کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4616506 | 1339351 | 2013 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Quasi uniformity for the abstract Neumann antimaximum principle and applications with a priori estimates
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Quasi uniformity for the abstract Neumann antimaximum principle and applications with a priori estimates Quasi uniformity for the abstract Neumann antimaximum principle and applications with a priori estimates](/preview/png/4616506.png)
چکیده انگلیسی
In this paper we prove a general result giving the maximum and the antimaximum principles in a unitary way for linear operators of the form L+λI, provided that 0 is an eigenvalue of L with associated constant eigenfunctions. To this purpose, we introduce a new notion of “quasi”-uniform maximum principle, named k-uniform maximum principle: it holds for λ belonging to certain neighborhoods of 0 depending on the fixed positive multiplier k>0 which selects the good class of right-hand-sides. Our approach is based on a LââLp estimate for some related problems. As an application, we prove some generalization and new results for elliptic problems and for time periodic parabolic problems under Neumann boundary conditions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 406, Issue 1, 1 October 2013, Pages 266-276
Journal: Journal of Mathematical Analysis and Applications - Volume 406, Issue 1, 1 October 2013, Pages 266-276
نویسندگان
Genni Fragnelli, Dimitri Mugnai,