Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 32, Tome 288 (2002), pp. 34-78
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A. A. Arkhipova. On global solvability of the Caushy–Dirichlet problem for a class of nondiagonal systems with $q$-pnonlinearity, $1
@article{ZNSL_2002_288_a2,
author = {A. A. Arkhipova},
title = {On global solvability of the {Caushy{\textendash}Dirichlet} problem for a class of nondiagonal systems with $q$-pnonlinearity, $1<q<2$},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {34--78},
year = {2002},
volume = {288},
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
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
%U http://geodesic.mathdoc.fr/item/ZNSL_2002_288_a2/
%G ru
%F ZNSL_2002_288_a2
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.
