Vacuum isolating and blow-up analysis for edge hyperbolic system on edge 2 Sobolev spaces

  • نویسندگان: نعمت اله کدخدا
  • کلمات کلیدی: Semilinear hyperbolic equation, Potential wells, Cone Sobolev spaces, partial di erential Operator.

This paper deals with the study of the initial-boundary value problem of edge-hyperbolic system with damping 6 term on the manifold with edge singularity. More precisely, it is analyzed the invariance and vacuum isolating of the 7 solution sets to the edge-hyperbolic systems on edge Sobolev spaces. Then, by using a family of modi ed potential wells 8 and concavity methods, it is obtained existence and non-existence results of global solutions with exponential decay and 9 is shown the blow-up in nite time of solutions on the manifold with edge singularities.

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