Open AccessDecay estimate and global existence of a semilinear Mindlin-Timoshenko plate system with full frictional damping in the whole space
Author(s) -
Kaiqiang Li,
Rui Xue
Publication year - 2020
Publication title -
quarterly of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.603
H-Index - 41
eISSN - 1552-4485
pISSN - 0033-569X
DOI - 10.1090/qam/1569
Subject(s) - mathematical analysis , multiplier (economics) , fourier transform , mathematics , space (punctuation) , half space , computer science , economics , macroeconomics , operating system
In this paper, we are interested in a semilinear Mindlin-Timoshenko system with an irrotationality condition for the angle variables. Under the smallness assumption on the initial data, the decay rate of solutions is obtained by using both the multiplier method in the Fourier space and the fundamental solution method. Moreover, we also prove the global existence of solutions by the standard method.