@article{AFST_1983_5_5_3-4_265_0, author = {A. Haraux and M. Kirane}, 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}, publisher = {Universit\'e Paul Sabatier}, address = {Toulouse}, volume = {5e s{\'e}rie, 5}, number = {3-4}, year = {1983}, zbl = {0531.35048}, mrnumber = {747194}, language = {fr}, url = {https://afst.centre-mersenne.org/item/AFST_1983_5_5_3-4_265_0/} }
TY - JOUR AU - A. Haraux AU - M. Kirane 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://afst.centre-mersenne.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 A. Haraux %A M. Kirane %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://afst.centre-mersenne.org/item/AFST_1983_5_5_3-4_265_0/ %G fr %F AFST_1983_5_5_3-4_265_0
A. Haraux; M. Kirane. 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://afst.centre-mersenne.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. | MR | Zbl
.[2] «Lp bounds of solutions of reaction - diffusion equations». Comm. P. Diff. Eq. 4 (1979), 827-868. | MR | Zbl
.[3] «Propriétés régularisantes de certains semi-groupes non linéaires». Israël J. Math. 9 (1971 ), 513-534. | MR | Zbl
.[4] Cours de 3ème cycle Paris VI (1977).
.[5] Liouville theorems for some improperly posed problems». Dans Improperly posed boundary value problems. Carasso-Stone ed., Pitman (1975), 65-75. | MR | Zbl
et . «[6] «Remarks on generators of analytic semi-groups». Israël J. Math. 32, 4 (1979), 363-374. | MR | Zbl
, et .[7] Asymptotic behavior of solutions of evolution equations». dans Nonlinear Evolution Equations, M.G. Crandall ed., Academic Press, New-York (1978) 103-123. | MR | Zbl
. «[8] «Equations d'évolution abstraites non linéaires de type parabolique». C.R.A.S. Paris t. 283 (1976), 709-711. | MR | Zbl
et .[9] «Smoothing effect and asymptotic behavior for the solutions of a nonlinear time dependent system». Proc. Roy. Soc. Edinburgh 87 A (1981), 289-303. | MR | Zbl
ET .[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). | MR | Zbl
.[12] «Ordinary differential equations». Wiley-Interscience, New-York (1969). | MR | Zbl
.[13] «Asymptotic behavior of gradient-like systems». To appear. | MR
and .[14] «Geometric Theory of Semilinear Parabolic Equations». Lecture Notes in Math.. N° 842, Springer (1981 ). | MR | Zbl
.[15] «Abstract evolution equations of parabolic type in Banach and Hilbert spaces». Nagoya Math. J. 19 (1961), 93-125. | MR | Zbl
.[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. | MR | Zbl
.[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. | MR | Zbl
.[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. | MR | Zbl
.[21] «Topics in harmonic analysis». Annals of Math. Studies, Princeton Univ. Press. | MR | Zbl
.[22] «Generation of analytic semi-groups by strongly elliptic operators». Trans. Amer. Math. Soc. 199 (1974), 141-162. | MR | Zbl
.[23] «A reaction-diffusion model for a deterministic diffusive epidemic». J. of Math. Anal. and Appl. 84,1 (1981), 150-161. | MR | Zbl
.[24] «Semilinear evolution equations in Banach spaces». J. Funct. Anal. 32 (1979), 277-296. | MR | Zbl
.