Geodesic
A Note on the Divergence-Free Jacobian Conjecture in $\mathbb{R}^2$
M. Sabatini1
1 Departimento di Matematica Università di Trento I-38050 Povo (TN), Italy
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) no. 2, pp. 109-115.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We give a shorter proof to a recent result by Neuberger [Rocky Mountain J. Math. 36 (2006)], in the real case. Our result is essentially an application of the global asymptotic stability Jacobian Conjecture. We also extend some of the results of Neuberger's paper.
DOI : 10.4064/ba57-2-3
Keywords: shorter proof recent result neuberger rocky mountain math real result essentially application global asymptotic stability jacobian conjecture extend results neubergers paper

M. Sabatini 1

1 Departimento di Matematica Università di Trento I-38050 Povo (TN), Italy 
@article{10_4064_ba57_2_3,
     author = {M. Sabatini},
     title = {A {Note} on the {Divergence-Free} {Jacobian} {Conjecture} in $\mathbb{R}^2$},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {109--115},
     publisher = {mathdoc},
     volume = {57},
     number = {2},
     year = {2009},
     doi = {10.4064/ba57-2-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba57-2-3/}
}
TY  - JOUR
AU  - M. Sabatini
TI  - A Note on the Divergence-Free Jacobian Conjecture in $\mathbb{R}^2$
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2009
SP  - 109
EP  - 115
VL  - 57
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba57-2-3/
DO  - 10.4064/ba57-2-3
LA  - en
ID  - 10_4064_ba57_2_3
ER  - 
%0 Journal Article
%A M. Sabatini
%T A Note on the Divergence-Free Jacobian Conjecture in $\mathbb{R}^2$
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2009
%P 109-115
%V 57
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ba57-2-3/
%R 10.4064/ba57-2-3
%G en
%F 10_4064_ba57_2_3
M. Sabatini. A Note on the Divergence-Free Jacobian Conjecture in $\mathbb{R}^2$. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) no. 2, pp. 109-115. doi : 10.4064/ba57-2-3. http://geodesic.mathdoc.fr/articles/10.4064/ba57-2-3/

Cité par Sources :