کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5774503 1413561 2017 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Invariance and existence analysis for semilinear hyperbolic equations with damping and conical singularity
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Invariance and existence analysis for semilinear hyperbolic equations with damping and conical singularity
چکیده انگلیسی
In this paper, we will discuss about the invariance of solution set and present the existence and non-existence of the global solutions a class of initial-boundary value problems with dissipative terms is considered for a class of semilinear degenerate hyperbolic equations on the cone Sobolev spaces. First, we will discuss the invariance of some sets corresponding to the problem (1.1) and then, by using a family of potential wells and concavity methods, we obtain existence and non-existence results of global solutions with exponential decay and show the blow-up in finite time of solutions on a manifold with conical singularities.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 455, Issue 1, 1 November 2017, Pages 569-591
نویسندگان
, , ,