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Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy

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In this paper, we consider the Cauchy problem for the sixth-order multidimensional generalized Boussinesq equation with double damping terms. By using the improved convexity method combined with Fourier transform, we… Click to show full abstract

In this paper, we consider the Cauchy problem for the sixth-order multidimensional generalized Boussinesq equation with double damping terms. By using the improved convexity method combined with Fourier transform, we show the finite time blow-up of solution with arbitrarily high initial energy.

Keywords: sixth order; order multidimensional; generalized boussinesq; boussinesq equation; arbitrarily high; multidimensional generalized

Journal Title: Boundary Value Problems
Year Published: 2019

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