no. 4
Imbedding vector fields in scalar parabolic Dirichlet BVP s
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 22 (1995) no. 4, pp. 737-749. 
@article{ASNSP_1995_4_22_4_737_0,
     author = {Pol\'a\v{c}ik, Peter and Rybakowski, Krzysztof},
     title = {Imbedding vector fields in scalar parabolic {Dirichlet} $BVP_s$},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {737--749},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 22},
     number = {4},
     year = {1995},
     mrnumber = {1375317},
     zbl = {0852.35074},
     language = {en},
     url = {http://archive.numdam.org/item/ASNSP_1995_4_22_4_737_0/}
}
TY  - JOUR
AU  - Poláčik, Peter
AU  - Rybakowski, Krzysztof
TI  - Imbedding vector fields in scalar parabolic Dirichlet $BVP_s$
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 1995
SP  - 737
EP  - 749
VL  - 22
IS  - 4
PB  - Scuola normale superiore
UR  - http://archive.numdam.org/item/ASNSP_1995_4_22_4_737_0/
LA  - en
ID  - ASNSP_1995_4_22_4_737_0
ER  - 
%0 Journal Article
%A Poláčik, Peter
%A Rybakowski, Krzysztof
%T Imbedding vector fields in scalar parabolic Dirichlet $BVP_s$
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1995
%P 737-749
%V 22
%N 4
%I Scuola normale superiore
%U http://archive.numdam.org/item/ASNSP_1995_4_22_4_737_0/
%G en
%F ASNSP_1995_4_22_4_737_0
Poláčik, Peter; Rybakowski, Krzysztof. Imbedding vector fields in scalar parabolic Dirichlet $BVP_s$. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 22 (1995) no. 4, pp. 737-749. http://archive.numdam.org/item/ASNSP_1995_4_22_4_737_0/

[BJS] L. Bers - F. John - M. Schechter, Partial differential equations, Interscience Publishers, New York, 1964. | MR | Zbl

[Da] E.N. Dancer, On the existence of two-dimensional invariant tori for scalar parabolic equations with time periodic coefficients, Annali Scuola Norm. Sup. Pisa 18 (1991), 456-471. | Numdam | MR | Zbl

[Fi-P] B. Fiedler - P. POLÁčIK, Complicated dynamics of scalar reaction-diffusion equations with a nonlocal term, Proc. Royal Soc. Edinburgh Sect. A, 115 (1990), 167-192. | MR | Zbl

[Ha1] J.K. Hale, Flows on centre manifolds for scalar functional differential equations, Proc. Royal Soc. Edinburgh Sect. A, 101 (1985), 193-201. | MR | Zbl

[Ha2] J.K. Hale, Local flows for functional differential equations, Contemp. Math., 56 (1986), 185-192. | MR | Zbl

[Ha3] J.K. Hale, Asymptotic behavior of dissipative systems, AMS Publications, Providence RI, 1988. | MR | Zbl

[Ha-R] J.K. Hale - G. Raugel, Convergence in gradient-like systems with applications to PDE, J. Applied Math. Physics (ZAMP), 43 (1992), 63-124. | MR | Zbl

[He] D. Henry, Geometric theory of semilinear parabolic equations, Lecture Notes in Mathematics, Vol. 840, Springer, New York, 1981. | MR | Zbl

[Fa-M] T. Faria - L. Magalhães, Realization of ordinary differential equations by retarded functional differential equations in neighborhoods of equilibrium points, preprint. | MR

[Po1] P. Polá, Complicated dynamics in scalar semilinear parabolic equations in higher space dimension, J. Differential Equations 89 (1991), 244-271. | MR | Zbl

[Po2] P. Polá, Imbedding of any vector field in a scalar semilinear parabolic equation, Proc. Amer. Math Soc. 115 (1992), 1001-1008. | MR | Zbl

[Po3] P. Polá, High-dimensional w-limit sets and chaos in scalar parabolic equations, J. Differential Equations, 119 (1995), 24-53. | MR | Zbl

[Po4] P. Polá, Transversal and nontransversal intersections of stable and unstable manifolds in reaction diffusion equations on symmetric domains, Differential Integral Equations, 7 (1994), 1527-1545. | MR | Zbl

[Ry1] K.P. Rybakowski, Realization of arbitrary vector fields on center manifolds of parabolic Dirichlet BVPs, J. Differential Equations, 114 (1994), 199-221. | MR | Zbl

[Ry2] K.P. Rybakowski, Realization of arbitrary vector fields on invariant manifolds of delay equations, J. Differential Equations, 114 (1994), 222-231. | MR | Zbl

[Ry3] K.P. Rybakowski, An abstract approach to smoothness of invariant manifolds, Appl. Anal. 49 (1993), 119-150. | MR | Zbl

[Sa-F] B. Sandstede - B. Fiedler, Dynamics of periodically forced parabolic equations on the circle, to appear. | MR | Zbl

[Ze] T.I. Zelenyak, Stabilization of solutions of boundary value problems for a second order parabolic equation with one space variable. Differential Equations 4 (1988), 17-22. | MR | Zbl