Global Well-posedness of Solutions for the $p$-Laplacian Hyperbolic Type Equation with Weak and Strong Damping Terms and Logarithmic Nonlinearity
Author:
Affiliation:
1. Department of Mathematics and Computer Science, Larbi Tebessi University, Algeria
2. Department of Mathematics and Computer Science, Larbi Ben M'Hidi University, Algeria
3. College of Science, Henan University of Technology, China
Publisher
The Mathematical Society of the Republic of China
Subject
General Mathematics
Reference33 articles.
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2. C. N. Le and X. T. Le, Global solution and blow-up for a class of $p$-Laplacian evolution equations with logarithmic nonlinearity, Acta Appl. Math. 151 (2017), 149–169.
3. W. Lian, M. S. Ahmed and R. Xu, Global existence and blow up of solution for semilinear hyperbolic equation with logarithmic nonlinearity, Nonlinear Anal. 184 (2019), 239–257.
4. W. Lian and R. Xu, Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term, Adv. Nonlinear Anal. 9 (2020), no. 1, 613–632.
5. L. Ma and Z. B. Fang, Energy decay estimates and infinite blow-up phenomena for a strongly damped semilinear wave equation with logarithmic nonlinear source, Math. Methods Appl. Sci. 41 (2018), no. 7, 2639–2653.
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