کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4617257 1339375 2012 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Decay of solutions to an inertial model for a semilinear plate equation with memory
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Decay of solutions to an inertial model for a semilinear plate equation with memory
چکیده انگلیسی

In this paper we focus on the initial value problem of an inertial model for a semilinear plate equation with memory in multi-dimensions (n≥1)(n≥1), which is of regularity-loss property. By using Fourier transform and Laplace transform, we obtain fundamental solutions to the corresponding linear problem and their pointwise estimates in the Fourier space. Appealing to this pointwise estimates, we obtain the global existence and the optimal decay estimates of solutions to the semilinear problem by employing the contraction mapping theorem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 394, Issue 2, 15 October 2012, Pages 616–632
نویسندگان
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