Well-posedness and General Decay for a Moore-Gibson-Thompson Equation with a Memory Term
Keywords:
Memory term, Well-posedness, Exponential stability, Moore-Gibson-Thompson equationAbstract
In this paper, we consider the Moore-Gibson-Thompson equation with a finite memory term. Under appropriate assumptions on the convolution kernel, for the well-posedness of this problem using semi-group theory ([4] as [9] and [17]) and introducing suitable Lyapunov functionals to demonstrate the exponential stability of the energy function.
2010 Mathematics Subject Classification: 35B35; 35Q70; 35G05; 45D05; 74D99.
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