عنوان
|
Global results for semilinear hyperbolic equations with damping term on manifolds with conical singularity
|
نوع پژوهش
|
مقاله چاپشده
|
کلیدواژهها
|
semilinear hyperbolic equation; potential wells; cone Sobolev spaces; partial differential operator
|
چکیده
|
In this paper, we apply the family of potential wells to the initial boundary value problem of semilinear hyperbolic equations on the cone Sobolev spaces. We not only give some results of global existence and nonexistence of solutions but also obtain the vacuum isolating of solutions. Finally, we show blow-up in finite time of solutions on a manifold with conical singularities.
|
پژوهشگران
|
غلام رضا کرمعلی (نفر سوم)، مرتضی کوزه گر کالجی (نفر دوم)، محسن علیمحمدی (نفر اول)
|