کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
839193 1470458 2016 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Initial–boundary value problem for p-system with damping in half space
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Initial–boundary value problem for p-system with damping in half space
چکیده انگلیسی

In this paper, the initial–boundary value problem for p-system with damping in half space is studied with a posed mix boundary condition. The fundamental solution (Green’s function for Cauchy problem) is constructed with a sharp decaying structure and a precise capture of the singularity by a “singularity removal” process. Later, the symbols of both fundamental solution and Green’s function (for initial–boundary value problem) are obtained with transformed variable ss and spatial variable xx while in this level the Green’s function could be decomposed into fundamental solution and boundary operator. Thus, with the study of boundary operator and previous precise information about the fundamental solution, the pointwise structure as well as the singular structure of the Green’s function is established. Finally, the nonlinear stability is obtained by the Green’s function and a priori estimate from energy method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 143, September 2016, Pages 193–210
نویسندگان
,