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arXiv · 1812.04595

Blow up of solutions to semilinear non-autonomous wave equations under Robin boundary conditions

Jamila Kalantarova
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Abstract

The problem of blow up of solutions to the initial boundary value problem for non-autonomous semilinear wave equation with damping and accelerating terms under the Robin boundary condition is studied. Sufficient conditions of blow up in a finite time of solutions to semilinear damped wave equations with arbitrary large initial energy are obtained. A result on blow up of solutions with negative initial energy of semilinear second order wave equation with accelerating term is also obtained.

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Jamila Kalantarova. 2018-12-11. Blow up of solutions to semilinear non-autonomous wave equations under Robin boundary conditions. https://arxiv.org/abs/1812.04595

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