ABSTRACT
Initial-boundary value problems for semilinear wave equations with damping term and Neumann boundary conditions on the exterior domain are investigated. In sub-critical and critical cases, blow-up and upper bound lifespan estimates of solutions to the problems which contain power nonlinearity , derivative nonlinearity , combined nonlinearity , respectively, are derived by applying test function technique and iterative method. The novelty is that lifespan estimates of solutions are associated with the well-known Strauss conjecture and Glassey conjecture.
Acknowledgements
The author, Sen Ming, would like to express his sincere thanks to Professor Yi Zhou for his guidance and encouragement during his postdoctoral study at Fudan University. The author Sen Ming also would like to express his sincere thanks to Professor Ning-An Lai for his helpful suggestions and discussions.
Disclosure statement
No potential conflict of interest was reported by the author(s).