کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
843570 | 908559 | 2008 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Global existence and causality for a hyperbolic transmission problem with a repulsive nonlinearity
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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: Global existence and causality for a hyperbolic transmission problem with a repulsive nonlinearity Global existence and causality for a hyperbolic transmission problem with a repulsive nonlinearity](/preview/png/843570.png)
چکیده انگلیسی
It is well known that the solution of the classical linear wave equation with an initial condition with compact support and vanishing initial velocity also has a compact support included in a set depending on time: the support of the solution at time t is causally related to that of the initial condition. Reed and Simon have shown that for a real-valued Klein-Gordon equation with (nonlinear) right-hand side âλu3 (λ>0), causality still holds. We show the same property for a one-dimensional Klein-Gordon problem but with transmission and with a more general repulsive nonlinear right-hand side F(u). We also prove the global existence of a solution using the repulsiveness of F. In the particular case F(u)=âλu3, the problem is a relativistic model for a quantum particle with repulsive self-interaction and tunnel effect at a semi-infinite potential step.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 69, Issue 2, 15 July 2008, Pages 408-424
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 69, Issue 2, 15 July 2008, Pages 408-424
نویسندگان
F. Ali Mehmeti, V. Régnier,