@article{ASNSP_1998_4_27_2_289_0, author = {Prizzi, Martino}, title = {Realizing vector fields without loss of derivatives}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {289--307}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 27}, number = {2}, year = {1998}, mrnumber = {1664690}, zbl = {0937.35090}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1998_4_27_2_289_0/} }
TY - JOUR AU - Prizzi, Martino TI - Realizing vector fields without loss of derivatives JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1998 SP - 289 EP - 307 VL - 27 IS - 2 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1998_4_27_2_289_0/ LA - en ID - ASNSP_1998_4_27_2_289_0 ER -
%0 Journal Article %A Prizzi, Martino %T Realizing vector fields without loss of derivatives %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1998 %P 289-307 %V 27 %N 2 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1998_4_27_2_289_0/ %G en %F ASNSP_1998_4_27_2_289_0
Prizzi, Martino. Realizing vector fields without loss of derivatives. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 27 (1998) no. 2, pp. 289-307. http://archive.numdam.org/item/ASNSP_1998_4_27_2_289_0/
[1] Invariant manifolds for flows in Banach spaces, J. Differential Equations 74 (1988), 285-317. | MR | Zbl
- ,[2] Realization of vector fields and dynamics of spatially homogeneous parabolic equations, preprint. | MR
- ,[3] Realization of ordinary differential equations by retarded functional differential equations in neighborhoods of equilibrium points, Proc. Roy. Soc. Edinburgh Sect. A 125 (1995), 759-776. | MR | Zbl
- ,[4] Normal forms for retardedfunctional differential equations and applications to bogdanov-takens singularity, J. Differential Equations 122 (1995), 201-224. | MR | Zbl
- ,[5] Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation, J. Differential Equations 122 (1995), 181-200. | MR | Zbl
- ,[6] Restrictions on the possible flows of scalar retarded functional differential equations in neighborhoods of singularities, J. Dynam. Differential Equations 8 (1996) 35-70. | MR | Zbl
- ,[7] Complicated dynamics of scalar reaction-diffusion equations with a nonlocal term, Proc. Roy. Soc. Edinburgh Sect. A 115 (1990), 167-192. | MR | Zbl
- ,[8] Dynamics of periodically forced parabolic equations on the circle, Ergodic Theory Dynam. Systems 12 (1992), 559-571. | MR | Zbl
- ,[9] Introduction to Functional Differential Equations ", Springer-Verlag, Berlin Heidelberg, New York, 1993. | MR | Zbl
- , "[10] Flows on centre manifolds for scalar functional differential equations, Proc. Roy. Soc. Edinburgh Sect. A 101 (1985), 193-201. | MR | Zbl
,[11] Geometric Theory of Semilinear Parabolic Equations", Lecture Notes in Mathematics, Vol 840, Springer-Verlag, NY, 1981. | MR | Zbl
, "[12] Convergence of solutions of one-dimensional semilinear parabolic equations, J. Math. Kyoto Univ. 18 (1978), 221-227. | MR | Zbl
,[13] Complicated dynamics in scalar semilinear parabolic equations in higher space dimension, J. Differential Equations 89 (1991), 244-271. | MR | Zbl
,[14] Imbedding of any vector field in a scalar semilinear parabolic equation, Proc. Amer. Math. Soc. 115 (1992), 1001-1008. | MR | Zbl
,[15] Realization of any finite jet in a scalar semilinear equation on the ball in R3, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 18 (1991), 83-102. | Numdam | MR | Zbl
,[16] High-dimensional ω-limit sets and chaos in scalar parabolic equations, J. Differential Equations 119 (1995), 24-53. | Zbl
,[17] Reaction-diffusion equations and realization of gradient vector fields, Proc. Equadiff. (1995), (to appear). | MR
,[18] Imbedding vector fields in scalar parabolic dirichlet BVPs, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 22 (1995), 737-749. | Numdam | MR | Zbl
- ,[19] Nonconvergent bounded trajectories in semilinear heat equations, J. Differential Equations 124 (1995), 472-494. | MR | Zbl
- ,[20] Complicated dynamics of parabolic equations with simple gradient dependence, Trans. Amer. Math. Soc. 350 (1998), 3119-3130. | MR | Zbl
- ,[21] Inverse problems and chaotic dynamics of parabolic equations on arbitrary spatial domains, J. Differential Equations 142 (1998), 17-53. | MR | Zbl
- ,[22] Perturbation of elliptic operators and complex dynamics of parabolic PDEs, preprint.
,[23] An abstract approach to smoothness of invariant manifolds, Appl. Anal. 49 (1993), 119-150. | MR | Zbl
,[24] Realization of arbitrary vector fields on center manifolds ofparabolic dirichlet BVPs, J. Differential Equations 114 (1994), 199-221. | MR | Zbl
,[25] Realization of arbitrary vector fields on invariant manifolds of delay equations, J. Differential Equations 114 (1994), 222-231. | MR | Zbl
,[26] The center manifold technique and complex dynamics of parabolic equations, In "Topological Methods in Differential Equations and Inclusions" NATO ASI Series A. Granas M. Frigon 472, Kluwer Academic Publishers, Dordrecht/Boston /London, 1995, pp. 411-446. | MR | Zbl
,