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

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,