Open AccessBlow-up of energy solutions for the semilinear generalized Tricomi equation with nonlinear memory term
Author(s) -
Jincheng Shi,
Jian 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.