Abstract
In this article we consider an initial--boundary value problem for a wave equation in high dimensions with a nonlinear damping term that is not Lipschitz in $u_t$. We establish the existence and uniqueness of a global solution by using a compactness method and by exploiting the monotonicity property of the nonlinearity.
Citation
Keith Agre. Mohammad A. Rammaha. "Global solutions to boundary value problems for a nonlinear wave equation in high space dimensions." Differential Integral Equations 14 (11) 1315 - 1331, 2001. https://doi.org/10.57262/die/1356123026
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