A Note on the Divergence-Free Jacobian Conjecture in ℝ²
M. Sabatini
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009), p. 109-115 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:281177
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     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},
     volume = {57},
     year = {2009},
     pages = {109-115},
     zbl = {1173.14348},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-2-3}
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M. Sabatini. A Note on the Divergence-Free Jacobian Conjecture in ℝ². Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) pp. 109-115. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-2-3/