In this paper, we investigate blow-up conditions for the semilinear generalized Tricomi equation with a general nonlinear memory term in $ \mathbb{R}^n $ by using suitable functionals and employing iteration procedures. Particularly, a new combined effect from the relaxation function and the time-dependent coefficient is found.
Citation: Jincheng Shi, Jianye Xia, Wenjing Zhi. Blow-up of energy solutions for the semilinear generalized Tricomi equation with nonlinear memory term[J]. AIMS Mathematics, 2021, 6(10): 10907-10919. doi: 10.3934/math.2021634
In this paper, we investigate blow-up conditions for the semilinear generalized Tricomi equation with a general nonlinear memory term in $ \mathbb{R}^n $ by using suitable functionals and employing iteration procedures. Particularly, a new combined effect from the relaxation function and the time-dependent coefficient is found.
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Jincheng Shi, Jianye Xia, Wenjing Zhi. Blow-up of energy solutions for the semilinear generalized Tricomi equation with nonlinear memory term[J]. AIMS Mathematics, 2021, 6(10): 10907-10919. doi: 10.3934/math.2021634
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