Geodesic
Some remarks on the mollification of piecewise-linear homeomorphisms
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 26, Tome 221 (1995), pp. 235-242

Voir la notice de l'article provenant de la source Math-Net.Ru

We construct an example of a piecewise positive (a.e.) Jacobian such that the usual convolution does not preserve the sign of the Jacobian. Bibliography: 4 titles. 
@article{ZNSL_1995_221_a14,
     author = {G. A. Seregin and T. N. Shilkin},
     title = {Some remarks on the mollification of piecewise-linear homeomorphisms},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {235--242},
     publisher = {mathdoc},
     volume = {221},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_221_a14/}
}
TY  - JOUR
AU  - G. A. Seregin
AU  - T. N. Shilkin
TI  - Some remarks on the mollification of piecewise-linear homeomorphisms
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1995
SP  - 235
EP  - 242
VL  - 221
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1995_221_a14/
LA  - ru
ID  - ZNSL_1995_221_a14
ER  - 
%0 Journal Article
%A G. A. Seregin
%A T. N. Shilkin
%T Some remarks on the mollification of piecewise-linear homeomorphisms
%J Zapiski Nauchnykh Seminarov POMI
%D 1995
%P 235-242
%V 221
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_1995_221_a14/
%G ru
%F ZNSL_1995_221_a14
G. A. Seregin; T. N. Shilkin. Some remarks on the mollification of piecewise-linear homeomorphisms. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 26, Tome 221 (1995), pp. 235-242. http://geodesic.mathdoc.fr/item/ZNSL_1995_221_a14/