Dimension of the global attractor for damped semilinear wave equations with critical exponent

Journal of Mathematical Physics

Volumn 40, Issue 9, 1999, Pages 4444-4451

  Shengfan, Zhou ^a  

^a SICHUAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033196569     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532978     Document Type: Article

References (9)

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4. E. Feireisl and E. Zuazua, "Global attractors for semilinear wave equations with locally distributed nonlinear damping and critical exponent," Commun. Partial Diff. Eqns. 18, 1539-1555 (1993).
5. Yu Huang, "Global attractors for semilinear wave equations with nonlinear damping and critical exponent," Appl. Anal. 56, 165-174 (1995).
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7. Y. Yu, "Estimate of the Hausdorff and fractal dimensions of the global attractors for nonlineir wave equations with damping," Acta Math. Appl. Sinica (in Chinese) 21, 257-266 (1998).
8. Z. Shengfan, "On dimension of the global attractor for damped nonlinear wave equations," J. Math. Phys. 40, 1432-1438 (1999).
9. R. Témam, Infinite-Dimensional Dynamical Systems in Mechanics and Physics, Appl. Math. Sciences 68 (Springer-Verlag, New York, 1988).