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Volume 12, Issue 4
The Asymptotic Behavior of Solutions to the Damped P-system with Boundary Effects

Hailiang Li

J. Part. Diff. Eq., 12 (1999), pp. 357-368.

Published online: 1999-12

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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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@Article{JPDE-12-357, author = {Hailiang Li }, title = {The Asymptotic Behavior of Solutions to the Damped P-system with Boundary Effects}, journal = {Journal of Partial Differential Equations}, year = {1999}, volume = {12}, number = {4}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5548.html} }
TY - JOUR T1 - The Asymptotic Behavior of Solutions to the Damped P-system with Boundary Effects AU - Hailiang Li 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.
Hailiang Li . (1999). The Asymptotic Behavior of Solutions to the Damped P-system with Boundary Effects. Journal of Partial Differential Equations. 12 (4). 357-368. doi:
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