Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIII, Tome 248 (1998), pp. 60-69
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A. P. Kubanskaya. Uniqueness of the solution of the first mixed problem for a two-dimentional nonlinear parabolic equation. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIII, Tome 248 (1998), pp. 60-69. http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a3/
@article{ZNSL_1998_248_a3,
author = {A. P. Kubanskaya},
title = {Uniqueness of the solution of the first mixed problem for a two-dimentional nonlinear parabolic equation},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {60--69},
year = {1998},
volume = {248},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a3/}
}
TY - JOUR
AU - A. P. Kubanskaya
TI - Uniqueness of the solution of the first mixed problem for a two-dimentional nonlinear parabolic equation
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1998
SP - 60
EP - 69
VL - 248
UR - http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a3/
LA - ru
ID - ZNSL_1998_248_a3
ER -
%0 Journal Article
%A A. P. Kubanskaya
%T Uniqueness of the solution of the first mixed problem for a two-dimentional nonlinear parabolic equation
%J Zapiski Nauchnykh Seminarov POMI
%D 1998
%P 60-69
%V 248
%U http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a3/
%G ru
%F ZNSL_1998_248_a3
The first mixed problem for two-dimentional nonlinear parabolic equation with nonlinear second derivatives of a desired function is considered. We assume that the solution possessing continuous second derivatives with respect to coordinate variables exists in a closed cylinder under some restrictions on initial data of the problem. The uniqueness of this problem is proved by using the longitudinal version of the method of lines.
