In this paper, we obtain the critical exponent for a wave equation with structural damping and nonlinear memory: (Formula presented.) where μ > 0. In the supercritical case, we prove the existence of small data global solutions, whereas, in the subcritical case, we prove the nonexistence of global solutions for suitable arbitrarily small data, in the special case μ = 2.
A wave equation with structural damping and nonlinear memory
D'ABBICCO, MARCELLO
2014-01-01
Abstract
In this paper, we obtain the critical exponent for a wave equation with structural damping and nonlinear memory: (Formula presented.) where μ > 0. In the supercritical case, we prove the existence of small data global solutions, whereas, in the subcritical case, we prove the nonexistence of global solutions for suitable arbitrarily small data, in the special case μ = 2.File in questo prodotto:
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