کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
839587 | 1470479 | 2015 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms](/preview/png/839587.png)
چکیده انگلیسی
This paper is devoted to study the asymptotic behavior of a time-dependent parabolic equation with nonlocal diffusion and nonlinear terms with sublinear growth. Namely, we extend some previous results from the literature, obtaining existence, uniqueness, and continuity results, analyzing the stationary problem and decay of the solutions of the evolutionary problem, and finally, under more general assumptions, ensuring the existence of pullback attractors for the associated dynamical system in both L2L2 and H1H1 norms. Relationships among these objects are established using regularizing properties of the equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 121, July 2015, Pages 3–18
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 121, July 2015, Pages 3–18
نویسندگان
Tomás Caraballo, Marta Herrera-Cobos, Pedro Marín-Rubio,