1403/01/10

محسن علیمحمدی

مرتبه علمی: استاد
ارکید:
تحصیلات: دکترای تخصصی
اسکاپوس:
دانشکده: دانشکده علوم ریاضی
نشانی: گروه ریاضی دانشگاه مازندران
تلفن: 011-35302462

مشخصات پژوهش

عنوان
Invariance and existence analysis for semilinear hyperbolic equations with damping and conical singularity
نوع پژوهش
JournalPaper
کلیدواژه‌ها
Semilinear hyperbolic equation, Potential wells, Cone Sobolev spaces, Partial differential operator
سال
2017
مجله JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
شناسه DOI
پژوهشگران Mohsen Alimohammady ، Carlo Cattani ، Morteza Koozehgar

چکیده

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