کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9506879 | 1340762 | 2005 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Standing waves for nonlinear Klein-Gordon equations with nonnegative potentials
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Standing waves for nonlinear Klein-Gordon equations with nonnegative potentials Standing waves for nonlinear Klein-Gordon equations with nonnegative potentials](/preview/png/9506879.png)
چکیده انگلیسی
This paper is concerned with the standing waves for nonlinear Klein-Gordon equations with nonnegative potentials. First, the existence of standing waves associated with the ground states is obtained by using variational calculus as well as a compactness lemma. Next, a series of sharp conditions for global existence of nonlinear Klein-Gordon equations with nonnegative potentials are established in terms of the characteristics of the ground state and the local theory. Then, that how small the initial data are, the global solutions exist is given. Finally, the instability of standing wave is shown by combining those results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 166, Issue 3, 26 July 2005, Pages 551-570
Journal: Applied Mathematics and Computation - Volume 166, Issue 3, 26 July 2005, Pages 551-570
نویسندگان
Zaihui Gan, Jian Zhang,