@article{ASNSP_1987_4_14_3_485_0,
author = {Ghidaglia, J. M. and Temam, R.},
title = {Regularity of the solutions of second order evolution equations and their attractors},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {485--511},
year = {1987},
publisher = {Scuola normale superiore},
volume = {Ser. 4, 14},
number = {3},
mrnumber = {951230},
zbl = {0666.35062},
language = {en},
url = {https://www.numdam.org/item/ASNSP_1987_4_14_3_485_0/}
}
TY - JOUR AU - Ghidaglia, J. M. AU - Temam, R. TI - Regularity of the solutions of second order evolution equations and their attractors JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1987 SP - 485 EP - 511 VL - 14 IS - 3 PB - Scuola normale superiore UR - https://www.numdam.org/item/ASNSP_1987_4_14_3_485_0/ LA - en ID - ASNSP_1987_4_14_3_485_0 ER -
%0 Journal Article %A Ghidaglia, J. M. %A Temam, R. %T Regularity of the solutions of second order evolution equations and their attractors %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1987 %P 485-511 %V 14 %N 3 %I Scuola normale superiore %U https://www.numdam.org/item/ASNSP_1987_4_14_3_485_0/ %G en %F ASNSP_1987_4_14_3_485_0
Ghidaglia, J. M.; Temam, R. Regularity of the solutions of second order evolution equations and their attractors. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 14 (1987) no. 3, pp. 485-511. https://www.numdam.org/item/ASNSP_1987_4_14_3_485_0/
[1] , and , Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I, Comm. Pure Appl. Math., 12 (1959), 623-727. | Zbl | MR
[2] and , Regular attractors of semigroups and evolution equations, J. Math Pures Appl., 62 (1983), 441-491. | Zbl | MR
[3] et , Attracteurs maximaux dans les équations aux dérivées partielles, Séminaire du Collège de France, J.L. Lions Ed., Pitman, Boston, 1985. | Zbl | MR
[4] , A regularity theorem for parabolic equations, J. Funct. Anal., 7 (1971), 311-322. | Zbl | MR
[5] , Advanced Combinatorics, D. Reidel, Dordrecht, 1978. | Zbl
[6] and , Linear Operators Part II, Self adjoint Operators in Hilbert Spaces, Interscience Publishers, 1963. | Zbl
[7] , Geometric Measure Theory, Springer-Verlag, New York, 1969. | Zbl | MR
[8] and , Attractors for damped nonlinear hyperbolic equations, J. Math. Pures et Appl., 66(3) 1987, pp. 273-319, and C.R. Acad. Sci. Paris. t. 300, série I, n° 7, 1985, pp. 185-188. | Zbl | MR
[9] and , Dimension of the universal attractor describing time periodically driven Sine-Gordon equation, Transport Theory and Statistical Physics, 16, 1987, pp. 253-265. | Zbl | MR
[10] , Asymptotic behavior and dynamics in infinite dimensions, Lectures in Granada, Pitman, Boston, 1985. | Zbl | MR
[11] and , Smoothness of bounded solutions of nonlinear evolution equations, J. Differential Equations, 56 (1985), 142-163. | Zbl | MR
[12] , Two remarks on dissipative hyperbolic problems, Séminaire du Collège de France, J.L. Lions Ed., Pitman, Boston, 1985. | MR
[13] , and , Linear and quasilinear equations of parabolic type, Translation of Math. Monographs, n° 23, Amer. Math. Soc., Providence R.I.
[14] , Transformation theory of nonlinear differential equations of the second order, Annals of Math., 45, 4, (1944), 723-737. | Zbl | MR
[15] , Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris, 1969. | Zbl | MR
[16] and , Nonhomogeneous boundary value problems and applications, Springer, Berlin, 1972 (translated from Dunod, Paris, 1968). | Zbl
[17] and , Some nonlinear evolution equations, Bull. Soc. Math. France, 93 (1965), 43-96. | Zbl | MR | Numdam
[18] , Fractals: Form, Chance and Dimension, Freeman, San Francisco, 1977. | Zbl | MR
[19] and , Differentiability of solutions to hyperbolic initial-boundary value problem, Trans. Amer. Math. Soc., 189 (1974), 303-318. | Zbl | MR
[20] , The existence of global classical solution of the initial-boundary value problem for □ u + u3 = f. Arch. Rational Mech. Anal., 22 (1966), 292-307. | Zbl
[21] , Nonlinear semi-groups, Ann. of Math., 78, n° 2. 1963. | Zbl | MR
[22] , Smooth solutions of the heat and wave equations, Comment. Math. Helvetici, 55 (1980), 1-12. | Zbl | MR
[23] , Behaviour at time t = 0 of the solutions of semi-linear evolution equations, J. Differential Equations, 43 (1982), 73-92. | Zbl | MR
[24] , Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires, Ann. Scient. Ecole Norm. Sup., 4e Série, 14 (1981), 209-246. | Zbl | MR | Numdam






