کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9501893 1338798 2005 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Maximum principles for bounded solutions of the telegraph equation in space dimensions two and three and applications
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Maximum principles for bounded solutions of the telegraph equation in space dimensions two and three and applications
چکیده انگلیسی
A maximum principle is proved for the weak solutions u∈L∞(R×T3) of the telegraph equation in space dimension three utt−Δxu+cut+λu=f(t,x), when c>0, λ∈(0,c2/4] and f∈L∞(R×T3) (Theorem 1). The result is extended to a solution and a forcing belonging to a suitable space of bounded measures (Theorem 2). Those results provide a method of upper and lower solutions for the semilinear equation utt−Δxu+cut=F(t,x,u). Also, they can be employed in the study of almost periodic solutions of the forced sine-Gordon equation. A counterexample for the maximum principle in dimension four is given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 208, Issue 1, 1 January 2005, Pages 42-63
نویسندگان
, , ,