The Asymptotic Behavior of Solutions to the Damped P-system with Boundary Effects

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Abstract

The initial boundary value problems (IBVP) for the P-system with damping on [0, 1] × (0, +∞) arc considered. The global existence of smooth solutions for the TBVP are proved, and their large-time behavior is analyzed. The time-asymptotic equivalence of these solutions to the solutions of the IBVP for the reduced system (1.2) is shown.

Keywords:

P-system;initial boundary value problem;global existence;largetime behavior
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The Asymptotic Behavior of Solutions to the Damped P-system with Boundary Effects. (2020). Journal of Partial Differential Equations, 12(4), 357-368. https://gsp.tricubic.dev/jpde/article/view/3925