The Asymptotic Behavior of Solutions to the Damped <em>P</em>-system with Boundary Effects

The Asymptotic Behavior of Solutions to the Damped <em>P</em>-system with Boundary Effects

Year:    1999

Journal of Partial Differential Equations, Vol. 12 (1999), Iss. 4 : pp. 357–368

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1999-JPDE-5548

Journal of Partial Differential Equations, Vol. 12 (1999), Iss. 4 : pp. 357–368

Published online:    1999-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    P-system