کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4615707 1339327 2014 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A sufficient condition for the existence of a principal eigenvalue for nonlocal diffusion equations with applications
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
A sufficient condition for the existence of a principal eigenvalue for nonlocal diffusion equations with applications
چکیده انگلیسی

Considerable work has gone into studying the properties of nonlocal diffusion equations. The existence of a principal eigenvalue has been a significant portion of this work. While there are good results for the existence of a principal eigenvalue equations on a bounded domain, few results exist for unbounded domains. On bounded domains, the Krein–Rutman theorem on Banach spaces is a common tool for showing existence. This article shows that generalized Krein–Rutman can be used on unbounded domains and that the theory of positive operators can serve as a powerful tool in the analysis of nonlocal diffusion equations. In particular, a useful sufficient condition for the existence of a principal eigenvalue is given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 418, Issue 2, 15 October 2014, Pages 766–774
نویسندگان
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