On reaction-diffusion systems

Electronic Journal of Differential Equations

Volumn 1998, Issue , 1998, Pages 1-10

  De Oliveira, Luiz Augusto F ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Analytic semigroup; Exponential decay; Global attractor; Reaction diffusion systems

Indexed keywords

EID: 0038151267     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. M.S. Alves, Atrator global para o sistema de Timoshenko, atas do 44o. Seminário Brasileiro de Análise, 597-602, 1996.
2. H. Amann, Global existence for semilinear parabolic systems, J. Reine Angew. Math., 360, 47-83, 1985.
3. H. Amann, Dynamic theory of quasilinear parabolic systems. III. Global existence, Math. Z. 202, 2, 219-250, 1989 and Math. Z. 205, 2, 231, 1990.
4. H. Amann, Dynamic theory of quasilinear parabolic systems. III. Global existence, Math. Z. 202, 2, 219-250, 1989 and Math. Z. 205, 2, 231, 1990.
5. H. Amann, Highly degenerate quasilinear parabolic systems, Ann. Scuola Sup. Pisa, Cl. Sci. (4) 18, 135-166, 1991.
6. H. Amann, Hopf bifurcation in quasilinear reaction-diffusion systems, Delay differential equations and dynamical systems (Claremont, CA, 1990), Lecture Notes in Math. 1475, Springer-Verlag, 1991.
7. V. Capasso and A. Di Liddo, Global attractivity for reaction-diffusion systems. The case of nondiagonal matrices, J. Math. Anal. Appl. 177, 510-529, 1993.
8. G. Fichera, Analisi esistenziali per le soluzioni dei problemi al contorno misti, relativi all'equazioni e ai sistemi di equazioni del secondo ordine di tipo ellittico, autoaggiunti, Ann. Scuola Norm. Sup. Pisa (3) 1 (1947) 75-100, 1949.
9. G. Fichera, Linear elliptic differential systems and eigenvalue problems, Lecture Notes in Math. 8, Springer-Verlag, 1965.
10. J.K. Hale, Asymptotic Behavior of Dissipative Systems, AMS Mathematical Surveys and Monographs 25, Providence, RI, 1988.
11. D.B. Henry, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics 840, Springer-Verlag, 1981.
12. J.U. Kim, On the energy decay of a linear thermoelastic bar and plate, SIAM J. Math. Anal., vol. 23, no. 4, 889-899, 1992.
13. H. Leiva, Stability of a periodic solution for a system of parabolic equations, Applicable Analysis, vol. 60, 277-300, 1996.
14. Z.-Y. Liu and M. Renardy, A note on the equations of a thermoelastic plate, Appl. Math. Lett, Vol. 8, 1-6, 1995.
15. L.A.F. de Oliveira, Exponential decay in thermoelasticity, Comm. in Appl. Analysis, vol.1, 113-118, 1997.
16. L.A.F. de Oliveira, Instability of homogeneous periodic solutions of parabolic-delay equations, J. Diff. Eq., Vol. 110, 42-76, 1994.
17. D. Sevicovic, Existence and limiting behaviour for damped nonlinear evolution equations with nonlocal terms, Comment. Math. Univ. Carolinae 31, 2, 283-293, 1990.