Global existence and non-existence theorems for nonlinear wave equations

By D. Pitts, Mohammad Rammaha. 2002

55 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

On nonlinear wave equations with degenerate damping and source terms (2005, methodology): “6 to a much narrower range of parameters fully recovers and generalizes (to a larger class of damping functions j(s)) the recent results of [22].”
Blow-up of weak solutions for the semilinear wave equations with nonlinear boundary and interior sources and damping (2008, methodology): “This general topic has attracted a lot of attention in recent years ([14, 30, 36, 33, 27, 40, 29] and references therein).”
On existence, uniform decay rates and blow up for solutions of the 2-D wave equation with exponential source (2009, background): “See, for instance the followingworks: [1,5,7–12,14–16,18–20,25–32,34–36] and a long list of references therein.”
Blow-up for nonlinear dissipative wave equations in Rn (2005, background): “Here we shall mention only [1], [12], [14] and [16].”