Publication Cover
Applicable Analysis
An International Journal
Volume 56, 1995 - Issue 1-2
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Original Articles

Global attractors for semilinear wave equations with nonlinear damping and critical exponent

Pages 165-174 | Received 15 Dec 1993, Published online: 02 May 2007

  • Arrieta , J. , Carvalho , A. and Hale , J. K. 1992 . A damped hyperbolic equation with critical exponent . Commun. Partial Differential Equations , 17 ( 5-6 ) : 841 – 866 .
  • Babin , A. V. and Vishik , M. I. 1992 . Attractor of evolution equation , North-Holland : Amsterdam .
  • ceron , S. S. and Lopes , O. 1991 . α-Contractions and attractors for dissipative semilinear hyperbolic equations and systems . Annal: Math. Pure Appl. , 140 : 193 – 206 .
  • Feireisl , E. 1992 . “ Attractors for wave equations with nonlinear dissipation and critical exponent ” . In C.R. Acad. Sci. Paris , I Vol. 315 , 551 – 555 .
  • Feireisl , E. and Zuazua , E. 1993 . Global attractors for semilinear wave equations with locally distributed nonlinear damping and critical exponent . Commun. Partial Differential Equations , 18 ( 9-10 ) : 1539 – 1555 .
  • Hale , J. K. 1985 . “ Asymptotic behaviour and dynamics in infinite dimensions ” . In In Res. Notes in Math. , 1 – 42 . Pitman .
  • Hale , J. K. 1988 . Asymptotic behaviour of dissipative systems. Math. Surveys and Monographs . Amer. Math. Sci. , 25
  • Haraux , A. 1985 . “ Two remarks on dissipative hyperbolic problems ” . In Sem. College de France , Edited by: Brezis , H. and Lions , J. J. Pitman .
  • Lions , J. L. and Magenes , E. 1972 . Nonhomogenous boundary value problems and applications , Springer-Verlag .
  • Raugel , G. 1992 . “ Une equation des ondes avec amortissement nonlineaire dans le cas critique en dimension trois ” . In C.R. Acad. Sci. Paris , I Vol. 314 , 177 – 182 .
  • Temam , R. 1988 . “ Infinite-dimensional dynamical systems in mechanics and physics ” . In Applied Math. Sciences , Vol. 68 , Springer-Verlag .

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