کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6417142 | 1338528 | 2015 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On cell problems for Hamilton-Jacobi equations with non-coercive Hamiltonians and their application to homogenization problems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On cell problems for Hamilton-Jacobi equations with non-coercive Hamiltonians and their application to homogenization problems On cell problems for Hamilton-Jacobi equations with non-coercive Hamiltonians and their application to homogenization problems](/preview/png/6417142.png)
چکیده انگلیسی
We study a cell problem arising in homogenization for a Hamilton-Jacobi equation whose Hamiltonian is not coercive. We introduce a generalized notion of effective Hamiltonians by approximating the equation and characterize the solvability of the cell problem in terms of the generalized effective Hamiltonian. Under some sufficient conditions, the result is applied to the associated homogenization problem. We also show that homogenization for non-coercive equations fails in general.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 259, Issue 11, 5 December 2015, Pages 6672-6693
Journal: Journal of Differential Equations - Volume 259, Issue 11, 5 December 2015, Pages 6672-6693
نویسندگان
Nao Hamamuki, Atsushi Nakayasu, Tokinaga Namba,