Upper Bound of the Blowing-up Time of kth-order Solution for Nonlinear Wave Equation with Averaged Damping in Rn
Keywords:
Blowing up, Wave equation, Weighted function, Averaged dampingAbstract
The aim of the present article is to study the nonlinear wave equation with averaged damping in high-order spaces. The concavity method was developed to prove the upper bound of the blowing-up time. To compensate for the lack of the classic Poincaré’s inequality in an unbounded domain, we proposed the density function to construct and defined a weighted space.
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