@article{Shi2022, 
author = {Jincheng Shi and Yan Zhang and Zihan Cai and Yan Liu},
title = {Semilinear viscous Moore-Gibson-Thompson equation with the derivative-type nonlinearity: Global existence versus blow-up},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {1},
pages = {247-257},
keywords = {Moore-Gibson-Thompson equation, derivative-type nonlinearity, global existence of small data solution, decay estimate, blow-up},
url = {https://www.sciopen.com/article/10.3934/math.2022015},
doi = {10.3934/math.2022015},
abstract = {In this paper, we study global existence and blow-up of solutions to the viscous Moore-Gibson-Thompson (MGT) equation with the nonlinearity of derivative-type        |        u    t              |        p  . We demonstrate global existence of small data solutions if    p  >  1  +  4      /    n (   n  ≤  6) or    p  ≥  2  −  2      /    n (   n  ≥  7), and blow-up of nontrivial weak solutions if    1  <  p  ≤  1  +  1      /    n. Deeply, we provide estimates of solutions to the nonlinear problem. These results complete the recent works for semilinear MGT equations by [4].}
}