Longtime behavior of semilinear reaction-diffusion equations on the whole space

Vittorino Pata; Claudio Santina

Rendiconti del Seminario Matematico della Università di Padova (2001)

  • Volume: 105, page 233-251
  • ISSN: 0041-8994

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Pata, Vittorino, and Santina, Claudio. "Longtime behavior of semilinear reaction-diffusion equations on the whole space." Rendiconti del Seminario Matematico della Università di Padova 105 (2001): 233-251. <http://eudml.org/doc/108552>.

@article{Pata2001,
author = {Pata, Vittorino, Santina, Claudio},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {233-251},
publisher = {Seminario Matematico of the University of Padua},
title = {Longtime behavior of semilinear reaction-diffusion equations on the whole space},
url = {http://eudml.org/doc/108552},
volume = {105},
year = {2001},
}

TY - JOUR
AU - Pata, Vittorino
AU - Santina, Claudio
TI - Longtime behavior of semilinear reaction-diffusion equations on the whole space
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2001
PB - Seminario Matematico of the University of Padua
VL - 105
SP - 233
EP - 251
LA - eng
UR - http://eudml.org/doc/108552
ER -

References

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  6. [6] E. Feireisl - PH. Laurençot - F. Simondon - H. Touré, Compact attractors for reaction-diffusion equations in Rn, C. R. Acad. Sci. Paris Sér. I Math., 319 (1994), pp. 147-151. Zbl0806.35075MR1288394
  7. [7] J.K. Hale, Asymptotic behavior of dissipative systems, American Mathematical Society, Providence (1988). Zbl0642.58013MR941371
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  9. [9] A. Haraux - F. B. WEISSLER, Non-uniqueness for a semilinear initial value problem, Indiana Univ. Math. J., 31 (1982), pp. 167-189. Zbl0465.35049MR648169
  10. [10] J.L. Lions, Quelques méthodes de résolutions des problèmes aux limites non linéaires, DunodGauthier-Villars, Paris (1969). Zbl0189.40603MR259693
  11. [11] V. Pata, Attractors for a damped wave equation on R3 with linear memory, Math. Meth. Appl. Sci., 23 (2000), pp. 633-653. Zbl0959.35024MR1752214
  12. [12] V. Pata - G. PROUSE - M. I. VISHIK, Traveling waves of dissipative non-autonomous hyperbolic equations in a strip, Adv. Differential Equations, 3 (1998), pp. 249-270. Zbl0954.35033MR1750416
  13. [13] R. Temam, Infinite-dimensional dynamical systems in mechanics and physics, Springer-Verlag, New York (1988). Zbl0662.35001MR953967
  14. [14] F.B. Weissler, Local existence and nonexistence for semilinear parabolic equations in Lp, Indiana Univ. Math. J., 1(1980), pp. 79-2102. Zbl0443.35034MR554819

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