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
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the Kneser property for some parabolic problems On the Kneser property for some parabolic problems](/preview/png/9516906.png)
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 5â6, 1 December 2005, Pages 975-989
Journal: Topology and its Applications - Volume 153, Issues 5â6, 1 December 2005, Pages 975-989
نویسندگان
José Valero,