We study large time asymptotic behavior of solutions to the periodic problem for the nonlinear damped wave equation where. We prove that if the initial data and, then there exists a unique solution of the periodic problem which has the time decay estimates for all t > 0. Moreover under some additional conditions we find the asymptotic formulas for the solutions.
- Asymptotics of solutions
- Nonlinear damped wave equations
- Periodic problem
ASJC Scopus subject areas
- Applied Mathematics