عنوان
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Vacuum isolating and blow-up analysis for edge hyperbolic system on edge Sobolev spaces
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نوع پژوهش
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مقاله چاپشده
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کلیدواژهها
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Semilinear hyperbolic equation, potential wells, cone Sobolev spaces, partial differential operator
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چکیده
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This paper deals with the study of the initial-boundary value problem of edge-hyperbolic system with damping term on the manifold with edge singularity. More precisely, it is analyzed the invariance and vacuum isolating of the solution sets to the edge-hyperbolic systems on edge Sobolev spaces. Then, by using a family of modified potential wells and concavity methods, it is obtained existence and nonexistence results of global solutions with exponential decay and is shown the blow-up in finite time of solutions on the manifold with edge singularities.
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پژوهشگران
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نعمت الله کدخدا (نفر دوم)، مرتضی کوزه گر کالجی (نفر اول)
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