کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774208 | 1413550 | 2017 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Almost global existence for the semi-linear Klein-Gordon equation on the circle
ترجمه فارسی عنوان
وجود تقریبا جهانی برای معادله کلاین گوردون نیمه خطی در دایره
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
We show that the solution to the semi-linear Klein-Gordon equation on the circle with a nonlinearity satisfying a convenient condition, exists almost globally, for almost every positive mass, provided that it is either even or odd as a function of the space variable. We also show, that if the nonlinearity is independent of the space derivative of the unknown and if it is also even as a function of the time derivative, then the solution exists almost globally, for almost every positive mass. The results are based on the method of normal forms. The difficulty is to find a structure of the nonlinearity so that the process of normal forms can be performed up to any order.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 262, Issue 9, 5 May 2017, Pages 4610-4634
Journal: Journal of Differential Equations - Volume 262, Issue 9, 5 May 2017, Pages 4610-4634
نویسندگان
Daoyuan Fang, Zheng Han, Qidi Zhang,