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

Authors

  • Hailiang Li

Keywords:

P-system;initial boundary value problem;global existence;largetime behavior

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.

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Published

2020-05-12

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  • 98

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  • 27

Issue

Vol. 12 No. 4 (1999)

Section

Articles

How to Cite

The Asymptotic Behavior of Solutions to the Damped P-system with Boundary Effects. (2020). Journal of Partial Differential Equations, 12(4), 357-368. https://global-sci.com/index.php/jpde/article/view/3925