TY - JOUR
T1 - The Asymptotic Behavior of Solutions to the Damped <em>P</em>-system with Boundary Effects
JO - Journal of Partial Differential Equations
VL - 4
SP - 357
EP - 368
PY - 1999
DA - 1999/12
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5548.html
KW - P-system
KW - initial boundary value problem
KW - global existence
KW - largetime behavior
AB -  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.