کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4617374 1339378 2012 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Small data global existence for the semilinear wave equation with space–time dependent damping
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Small data global existence for the semilinear wave equation with space–time dependent damping
چکیده انگلیسی

In this paper we consider the critical exponent problem for the semilinear wave equation with space–time dependent damping. When the damping is effective, it is expected that the critical exponent agrees with that of only the space dependent coefficient case. We shall prove that there exists a unique global solution for small data if the power of nonlinearity is larger than the expected exponent. Moreover, we do not assume that the data are compactly supported. However, it is still open whether there exists a blow-up solution if the power of nonlinearity is smaller than the expected exponent.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 393, Issue 1, 1 September 2012, Pages 66–79
نویسندگان
,