کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
843835 | 908567 | 2008 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On a singular two dimensional nonlinear evolution equation with nonlocal conditions
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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: On a singular two dimensional nonlinear evolution equation with nonlocal conditions On a singular two dimensional nonlinear evolution equation with nonlocal conditions](/preview/png/843835.png)
چکیده انگلیسی
This paper deals with a nonclassical initial boundary value problem for a two dimensional parabolic equation with Bessel operator. We prove the existence and uniqueness of the weak solution of the given nonlinear problem. We start by solving the associated linear problem. After writing this latter in its operator form, we establish an a priori bound from which we deduce the uniqueness of the strong solution. For the solvability of the associated linear problem, we prove that the range of the operator generated by the considered problem is dense. On the basis of the obtained results of the linear problem, we apply an iterative process to establish the existence and uniqueness of the nonlinear problem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 68, Issue 9, 1 May 2008, Pages 2594–2607
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 68, Issue 9, 1 May 2008, Pages 2594–2607
نویسندگان
Said Mesloub,