Geodesic
On global solvability of the Caushy--Dirichlet problem for a class of nondiagonal systems with $q$-pnonlinearity, $1$
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 32, Tome 288 (2002), pp. 34-78

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

The Caushy–Dirichlet problem for a class of nondiagonal $q$-nonlinear parabolic systems is studied, $1$. In the case of two spatial variables, we constract a solution which is global in time and smooth almost everywhere. Hausdorff's dimension of the singular set is estimated. 
@article{ZNSL_2002_288_a2,
     author = {A. A. Arkhipova},
     title = {On global solvability of the {Caushy--Dirichlet} problem for a class of nondiagonal systems with $q$-pnonlinearity, $1<q<2$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {34--78},
     publisher = {mathdoc},
     volume = {288},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_288_a2/}
}
TY  - JOUR
AU  - A. A. Arkhipova
TI  - On global solvability of the Caushy--Dirichlet problem for a class of nondiagonal systems with $q$-pnonlinearity, $1
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2002
SP  - 34
EP  - 78
VL  - 288
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2002_288_a2/
LA  - ru
ID  - ZNSL_2002_288_a2
ER  - 
%0 Journal Article
%A A. A. Arkhipova
%T On global solvability of the Caushy--Dirichlet problem for a class of nondiagonal systems with $q$-pnonlinearity, $1
%J Zapiski Nauchnykh Seminarov POMI
%D 2002
%P 34-78
%V 288
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2002_288_a2/
%G ru
%F ZNSL_2002_288_a2
A. A. Arkhipova. On global solvability of the Caushy--Dirichlet problem for a class of nondiagonal systems with $q$-pnonlinearity, $1