Blow-up of energy solutions for the semilinear generalized Tricomi equation with nonlinear memory term | Zendy

Jincheng Shi | Zendy; Jianye Xia | Zendy; Wenjing Zhi | Zendy

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Blow-up of energy solutions for the semilinear generalized Tricomi equation with nonlinear memory term

Author(s) -

Jincheng Shi,

Jianye Xia,

Wenjing Zhi

Publication year - 2021

Publication title -

aims mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.329

H-Index - 15

ISSN - 2473-6988

DOI - 10.3934/math.2021634

Subject(s) - term (time) , mathematics , nonlinear system , relaxation (psychology) , energy (signal processing) , function (biology) , mathematical analysis , physics , statistics , quantum mechanics , psychology , social psychology , evolutionary biology , biology

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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