کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9516906 1633121 2005 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the Kneser property for some parabolic problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
On the Kneser property for some parabolic problems
چکیده انگلیسی
In this paper we consider both a phase-field systems of equations and an abstract differential inclusion for which the uniqueness of the Cauchy problem fails. We prove that the Kneser property holds, that is, that the set of values attained by the solutions at every moment of time is compact and connected. These results are also applied for proving that the global attractors in both cases are connected. An application is given to a reaction-diffusion equation with discontinuous nonlinearity.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 153, Issues 5–6, 1 December 2005, Pages 975-989
نویسندگان
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