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The Global Attractors for the Periodic Initial Value Problem For a Coupled Non‐linear Wave Equation
Author(s) -
Boling Guo,
Linge Yang
Publication year - 1996
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19960125)19:2<131::aid-mma763>3.0.co;2-a
Subject(s) - mathematics , attractor , a priori and a posteriori , mathematical analysis , fractal , initial value problem , hausdorff space , wave equation , a priori estimate , pure mathematics , philosophy , epistemology
The existence of global attractors of the periodic initial value problem for a coupled non‐linear wave equation is proved. We also get the estimates of the upper bounds of Hausdorff and fractal dimensions for the global attractors by means of uniform a priori estimates for time.