On existence and uniqueness theorems of regular week solutions for the first boundary-value problem for quasilinear degenerated parabolic second-order equations
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 15, Tome 127 (1983), pp. 49-67
Citer cet article
A. V. Ivanov. On existence and uniqueness theorems of regular week solutions for the first boundary-value problem for quasilinear degenerated parabolic second-order equations. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 15, Tome 127 (1983), pp. 49-67. http://geodesic.mathdoc.fr/item/ZNSL_1983_127_a2/
@article{ZNSL_1983_127_a2,
author = {A. V. Ivanov},
title = {On existence and uniqueness theorems of regular week solutions for the first boundary-value problem for quasilinear degenerated parabolic second-order equations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {49--67},
year = {1983},
volume = {127},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_127_a2/}
}
TY - JOUR
AU - A. V. Ivanov
TI - On existence and uniqueness theorems of regular week solutions for the first boundary-value problem for quasilinear degenerated parabolic second-order equations
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1983
SP - 49
EP - 67
VL - 127
UR - http://geodesic.mathdoc.fr/item/ZNSL_1983_127_a2/
LA - ru
ID - ZNSL_1983_127_a2
ER -
%0 Journal Article
%A A. V. Ivanov
%T On existence and uniqueness theorems of regular week solutions for the first boundary-value problem for quasilinear degenerated parabolic second-order equations
%J Zapiski Nauchnykh Seminarov POMI
%D 1983
%P 49-67
%V 127
%U http://geodesic.mathdoc.fr/item/ZNSL_1983_127_a2/
%G ru
%F ZNSL_1983_127_a2
We consider the first boundary-value problem for quasilinear degenerated $(A, \vec b)$-parabolic equations of divergent form in $Q=\Omega\times(T_1, T_2)$ where $\Omega$ is a bounded domain in $\mathbb R^n$, $n\geqslant1$. Existenceand uniqueness theorems of regular weak solutions for these equations are established.
