@article{AFST_1983_5_5_3-4_265_0,
author = {Haraux, A. and Kirane, M.},
title = {Estimations $C1$ pour des probl\`emes paraboliques semi-lin\'eaires},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {265--280},
year = {1983},
publisher = {Universit\'e Paul Sabatier},
address = {Toulouse},
volume = {5e s{\'e}rie, 5},
number = {3-4},
mrnumber = {747194},
zbl = {0531.35048},
language = {fr},
url = {https://www.numdam.org/item/AFST_1983_5_5_3-4_265_0/}
}
TY - JOUR AU - Haraux, A. AU - Kirane, M. TI - Estimations $C1$ pour des problèmes paraboliques semi-linéaires JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1983 SP - 265 EP - 280 VL - 5 IS - 3-4 PB - Université Paul Sabatier PP - Toulouse UR - https://www.numdam.org/item/AFST_1983_5_5_3-4_265_0/ LA - fr ID - AFST_1983_5_5_3-4_265_0 ER -
%0 Journal Article %A Haraux, A. %A Kirane, M. %T Estimations $C1$ pour des problèmes paraboliques semi-linéaires %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1983 %P 265-280 %V 5 %N 3-4 %I Université Paul Sabatier %C Toulouse %U https://www.numdam.org/item/AFST_1983_5_5_3-4_265_0/ %G fr %F AFST_1983_5_5_3-4_265_0
Haraux, A.; Kirane, M. Estimations $C1$ pour des problèmes paraboliques semi-linéaires. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 5, Tome 5 (1983) no. 3-4, pp. 265-280. https://www.numdam.org/item/AFST_1983_5_5_3-4_265_0/
[1] . «On the eigenfunctions and on the eigenvalues of general boundary value problems». Comm. Pure Appl. Math. 15 (1962),116-147. | Zbl | MR
[2] . «Lp bounds of solutions of reaction - diffusion equations». Comm. P. Diff. Eq. 4 (1979), 827-868. | Zbl | MR
[3] . «Propriétés régularisantes de certains semi-groupes non linéaires». Israël J. Math. 9 (1971 ), 513-534. | Zbl | MR
[4] . Cours de 3ème cycle Paris VI (1977).
[5] et . «Liouville theorems for some improperly posed problems». Dans Improperly posed boundary value problems. Carasso-Stone ed., Pitman (1975), 65-75. | Zbl | MR
[6] , et . «Remarks on generators of analytic semi-groups». Israël J. Math. 32, 4 (1979), 363-374. | Zbl | MR
[7] . «Asymptotic behavior of solutions of evolution equations». dans Nonlinear Evolution Equations, M.G. Crandall ed., Academic Press, New-York (1978) 103-123. | Zbl | MR
[8] et . «Equations d'évolution abstraites non linéaires de type parabolique». C.R.A.S. Paris t. 283 (1976), 709-711. | Zbl | MR
[9] ET . «Smoothing effect and asymptotic behavior for the solutions of a nonlinear time dependent system». Proc. Roy. Soc. Edinburgh 87 A (1981), 289-303. | Zbl | MR
[10] . «Application of nonlinear semi-group theory to certain partial differential equations, Nonlinear Evolution Equations , M.G. Crandall ed., Academic Press, New-York (1978). | Zbl
[11] . «Partial differential equations». Halt, Rinehart and Winston, New-York (1969). | Zbl | MR
[12] . «Ordinary differential equations». Wiley-Interscience, New-York (1969). | Zbl | MR
[13] and . «Asymptotic behavior of gradient-like systems». To appear. | MR
[14] . «Geometric Theory of Semilinear Parabolic Equations». Lecture Notes in Math.. N° 842, Springer (1981 ). | Zbl | MR
[15] . «Abstract evolution equations of parabolic type in Banach and Hilbert spaces». Nagoya Math. J. 19 (1961), 93-125. | Zbl | MR
[16] . «Stability theory and invariance principles». Dynamical Systems, An International Symposium . ed. L. Cesari, J.K. Hale and J.P. La Salle, Academic Press, New-York (1976), Vol. I, 211-222. | Zbl | MR
[17] . «Structure of the set of steady-state solutions and asymptotic behavior of semilinear heat equations». A paraître. | Zbl
[18] . «Convergence of solutions of one-dimensional semilinear parabolic equations». J. Math. Kyoto Univ., 18 (1978), 221-227. | Zbl | MR
[19] . «Semi-groups of operators and applications to partial differential equations». Univ. of Maryland Press (1974). | MR
[20] . «Non-linear semi-groups». Ann. Math. 78 (1963), 339-364. | Zbl | MR
[21] . «Topics in harmonic analysis». Annals of Math. Studies, Princeton Univ. Press. | Zbl | MR
[22] . «Generation of analytic semi-groups by strongly elliptic operators». Trans. Amer. Math. Soc. 199 (1974), 141-162. | Zbl | MR
[23] . «A reaction-diffusion model for a deterministic diffusive epidemic». J. of Math. Anal. and Appl. 84,1 (1981), 150-161. | Zbl | MR
[24] . «Semilinear evolution equations in Banach spaces». J. Funct. Anal. 32 (1979), 277-296. | Zbl | MR






