Étude de l'existence de solutions globales d'un système de réaction-diffusion parabolique fortement non linéaire

El Haj Laamri

Annales de la Faculté des sciences de Toulouse : Mathématiques (1991)

  • Volume: 12, Issue: 3, page 373-390
  • ISSN: 0240-2963

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Laamri, El Haj. "Étude de l'existence de solutions globales d'un système de réaction-diffusion parabolique fortement non linéaire." Annales de la Faculté des sciences de Toulouse : Mathématiques 12.3 (1991): 373-390. <http://eudml.org/doc/73287>.

@article{Laamri1991,
author = {Laamri, El Haj},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {bounded domain with regular boundary; nonnegative solutions; existence of global solutions},
language = {fre},
number = {3},
pages = {373-390},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Étude de l'existence de solutions globales d'un système de réaction-diffusion parabolique fortement non linéaire},
url = {http://eudml.org/doc/73287},
volume = {12},
year = {1991},
}

TY - JOUR
AU - Laamri, El Haj
TI - Étude de l'existence de solutions globales d'un système de réaction-diffusion parabolique fortement non linéaire
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1991
PB - UNIVERSITE PAUL SABATIER
VL - 12
IS - 3
SP - 373
EP - 390
LA - fre
KW - bounded domain with regular boundary; nonnegative solutions; existence of global solutions
UR - http://eudml.org/doc/73287
ER -

References

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  1. [B] Baras ( P.) .— Compacité de l'opérateur f → u solution d'une équation non linéaire (du/dt) + Au ∋ f, C.R.A.S., A, 286 (1978) pp. 1113-1116. Zbl0389.47030
  2. [G] Galaktinov ( V.A.) .— Boundary value problem for the non-linear parabolic equation (∂u/∂t) - Δ(uσ+1) = uβ, Diff. Uravn.17, n° 5 (May 1981) pp. 836-842. Zbl0468.35056
  3. [GKS] Galaktinov ( V.A.), Kurdymov ( S.P.) and Samarskii ( A.A.) .— A parabolic system of quasilinear equations I, Diff. Uravn.19, n° 12 (December 1983) pp. 2123-2140. Zbl0556.35071
  4. [H] Henry ( D.) . — Geometric theory of semilinear parabolic equations, Lecture notes in Math., Springer Verlag, New-York, 840 (1981). Zbl0456.35001
  5. [L] Laamri ( E.) .— Existence globale pour des systèmes de réaction-diffusion dans L1, Thèse, Université de Nancy I, Juillet 1988. 
  6. [M] Maddalena ( L.) . — Existence of global solution for reaction-diffusion systems with density dependant diffusion, Non-linear Analysis, 8, n° 11 (1984) pp. 1383-1394. Zbl0566.35055
  7. [N] Nakao ( M.) .— Existence, nonexistence and some asymptotic behaviour of global solutions of a non-linear degenerate parabolic equations, Math. Rep., College Gen. Ed. Kyushu Univ., 1983. Zbl0563.35038

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