@article{M2AN_1989__23_3_519_0, author = {Raugel, Genevi\`eve}, title = {Continuity of attractors}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {519--533}, publisher = {AFCET - Gauthier-Villars}, address = {Paris}, volume = {23}, number = {3}, year = {1989}, mrnumber = {1014489}, zbl = {0687.58021}, language = {en}, url = {http://www.numdam.org/item/M2AN_1989__23_3_519_0/} }
TY - JOUR AU - Raugel, Geneviève TI - Continuity of attractors JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1989 SP - 519 EP - 533 VL - 23 IS - 3 PB - AFCET - Gauthier-Villars PP - Paris UR - http://www.numdam.org/item/M2AN_1989__23_3_519_0/ LA - en ID - M2AN_1989__23_3_519_0 ER -
Raugel, Geneviève. Continuity of attractors. ESAIM: Modélisation mathématique et analyse numérique, Tome 23 (1989) no. 3, pp. 519-533. http://www.numdam.org/item/M2AN_1989__23_3_519_0/
[1] Regular attractors of semigroupsand evolution quations, J. Math. Pures et Appl. 62, pp. 441-491, 1983. | MR | Zbl
, (1),[2] Unstable invariant sets of semigroups of nonlinear operators and their perturbations, Uspekhi Mat. Nauk 41, pp. 3-34, 1986, Russian Math. Surveys 41, pp. 1-41, 1986. | MR | Zbl
, (2),[3] Generic properties of stationary solutions of reaction-diffusion equations, J. Diff. Equat. 53, pp. 1-23, 1984. | MR | Zbl
, ,[4] α-Condensing maps and dissipative systems, Ph. D. Thesis, Brown Umversity, Providence, R.I., June 1978.
,[5] Attractors for damped nonlinear hyperbolic equations, J. Math. Pures et Appl., 66, pp. 273-319, 1987. | MR | Zbl
, ,[6] Asymptotic behavior and dynamics in infinite dimensions, in Nonlinear Differential Equations, J. K. Hale and P. Martinez-Amores, Eds., Pittman 132, 1985. | Zbl
(1),[7] Asymptotic Behavior of Dissipative Systems, Surveys and Monographs, Vol. 25, A.M.S., Providence, R.I., 1988. | MR | Zbl
(2),[8] Upper-semicontinuity of attractors for approximations of semigroups and partial differential equations, Math. of Comp., 50, pp. 89-123, 1988. | MR | Zbl
, , ,[9] An Introduction to Infinite Dimensional Dynamical Systems, Applied Math. Sciences, Vol. 47, Springer Verlag, 1984. | MR | Zbl
, , ,[10] Upper-semicontinuity of the attractor for a singularly perturbed hyperbolic equation, J. Diff. Equat., 73, pp. 197-214, 1988. | MR | Zbl
, (1),[11] Lower-semicontinuity of attractors of gradient systems and applications, Ann. Mat. Pura e App., to appear. | MR | Zbl
, (2),[12] Lower-semicontinuity of the singularly perturbed hyperbolic equation, DDE., to appear. | Zbl
, (3),[13] A reaction-diffusion equation on a thin domain, preprint.
, (4),[14] Morse-Smale property for a singularly perturbed hyperbolic equation, in preparation.
, (5),[15] Interaction of diffusion and boundary conditions, Nonlinear Analysis, T.M.A., 11, pp. 633-649, 1987. | MR | Zbl
, ,[16] Two remarks on dissipative hyperbolic problems, Séminaire du Collège de France, J. L. Lions Ed., Pittman, Boston, 1985.
,[17] Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Math, Vol. 840, Springer Verlag, 1981. | MR | Zbl
(1),[18] Some infinite-dimensional Morse-Smale Systems defined by parabolic partial differential equations, J. Diff. Equat. 59, pp. 165-205, 1985. | MR | Zbl
(2),[19] Generic properties of equilibrium solutions by perturbation of the boundary, Preprint of the « Centre de Recerca Matematica Institut d'Estudis Catalans», 37, 1986. | MR | Zbl
(3),[20] The singular limit dynamics of semilinear damped wave equations, J. Diff. Equat., to appear. | MR | Zbl
, ,[21] Geometric Theory of Dynamical Systems, Springer Verlag, 1982. | MR | Zbl
, ,[22] Generic properties of equilibria of reaction-diffusion equations with variable diffusion, Proc. Roy. Soc. Edinburgh, 101A, pp. 45-56, 1985. | MR | Zbl
,[23] Generic bifurcation of steady-state solutions, J.Diff. Equat. 52, pp. 432-438, 1984. | MR | Zbl
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