@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}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 14}, number = {3}, year = {1987}, mrnumber = {951230}, zbl = {0666.35062}, language = {en}, url = {http://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 - http://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 http://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. http://www.numdam.org/item/ASNSP_1987_4_14_3_485_0/
[1] Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I, Comm. Pure Appl. Math., 12 (1959), 623-727. | MR | Zbl
, and ,[2] Regular attractors of semigroups and evolution equations, J. Math Pures Appl., 62 (1983), 441-491. | MR | Zbl
and ,[3] Attracteurs maximaux dans les équations aux dérivées partielles, Séminaire du Collège de France, J.L. Lions Ed., Pitman, Boston, 1985. | MR | Zbl
et ,[4] A regularity theorem for parabolic equations, J. Funct. Anal., 7 (1971), 311-322. | MR | Zbl
,[5] Advanced Combinatorics, D. Reidel, Dordrecht, 1978. | Zbl
,[6] Linear Operators Part II, Self adjoint Operators in Hilbert Spaces, Interscience Publishers, 1963. | Zbl
and ,[7] Geometric Measure Theory, Springer-Verlag, New York, 1969. | MR | Zbl
,[8] 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. | MR | Zbl
and ,[9] Dimension of the universal attractor describing time periodically driven Sine-Gordon equation, Transport Theory and Statistical Physics, 16, 1987, pp. 253-265. | MR | Zbl
and ,[10] Asymptotic behavior and dynamics in infinite dimensions, Lectures in Granada, Pitman, Boston, 1985. | MR | Zbl
,[11] Smoothness of bounded solutions of nonlinear evolution equations, J. Differential Equations, 56 (1985), 142-163. | MR | Zbl
and ,[12] Two remarks on dissipative hyperbolic problems, Séminaire du Collège de France, J.L. Lions Ed., Pitman, Boston, 1985. | MR
,[13] Linear and quasilinear equations of parabolic type, Translation of Math. Monographs, n° 23, Amer. Math. Soc., Providence R.I.
, and ,[14] Transformation theory of nonlinear differential equations of the second order, Annals of Math., 45, 4, (1944), 723-737. | MR | Zbl
,[15] Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris, 1969. | MR | Zbl
,[16] Nonhomogeneous boundary value problems and applications, Springer, Berlin, 1972 (translated from Dunod, Paris, 1968). | Zbl
and ,[17] Some nonlinear evolution equations, Bull. Soc. Math. France, 93 (1965), 43-96. | Numdam | MR | Zbl
and ,[18] Fractals: Form, Chance and Dimension, Freeman, San Francisco, 1977. | MR | Zbl
,[19] Differentiability of solutions to hyperbolic initial-boundary value problem, Trans. Amer. Math. Soc., 189 (1974), 303-318. | MR | Zbl
and ,[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. | MR | Zbl
,[22] Smooth solutions of the heat and wave equations, Comment. Math. Helvetici, 55 (1980), 1-12. | MR | Zbl
,[23] Behaviour at time t = 0 of the solutions of semi-linear evolution equations, J. Differential Equations, 43 (1982), 73-92. | MR | Zbl
,[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. | Numdam | MR | Zbl
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