For a wave equation involving p-Laplacian term Phragmen-Lindelöf type estimates

Behaviours of the solutions to initial-boundary value problems in terms of spatial or time variables are investigated by the theories such as Phragmen-Lindelof Theorem and Saint-Venant Principle. In this work, behaviours of solutions to a hyperbolic equation involving p-Laplacian term in terms of spatial variable is studied. It is showed that how the solutions decay to zero depending on the constant p.