Geodesic
Blow-Up of Solutions to Semilinear Nonautonomous Wave Equations with Robin Boundary Conditions
Matematičeskie zametki, Tome 106 (2019) no. 3, pp. 377-386

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The problem of the blow-up of solutions to the initial boundary value problem for a nonautonomous semilinear wave equation with damping and accelerating terms under the Robin boundary condition is studied. Sufficient conditions for the blow up in finite time of solutions to semilinear damped wave equations with arbitrary large initial energy are obtained. A result on the blow-up of solutions with negative initial energy to a semilinear second-order wave equation with an accelerating term is also obtained.
Keywords: Robin boundary condition, blow-up of solutions, concavity method. 
@article{MZM_2019_106_3_a4,
     author = {J. Kalantarova},
     title = {Blow-Up of {Solutions} to {Semilinear} {Nonautonomous} {Wave} {Equations} with {Robin} {Boundary} {Conditions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {377--386},
     publisher = {mathdoc},
     volume = {106},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_106_3_a4/}
}
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J. Kalantarova. Blow-Up of Solutions to Semilinear Nonautonomous Wave Equations with Robin Boundary Conditions. Matematičeskie zametki, Tome 106 (2019) no. 3, pp. 377-386. http://geodesic.mathdoc.fr/item/MZM_2019_106_3_a4/