Turkish Journal of Mathematics
Abstract
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.
DOI
10.3906/mat-2003-84
Keywords
Semilinear hyperbolic equation, potential wells, cone Sobolev spaces, partial differential operator
First Page
1899
Last Page
1924
Recommended Citation
KALLEJI, M. K, & KADKHODA, N (2020). Vacuum isolating and blow-up analysis for edge hyperbolic system on edge Sobolev spaces. Turkish Journal of Mathematics 44 (5): 1899-1924. https://doi.org/10.3906/mat-2003-84
