Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 23, Tome 197 (1992), pp. 4-27
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M. A. Abdrachmanov. $L_2$-estimates for solutions of the general boundary-value problems for the equations with mixed parabolic-elliptic structure. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 23, Tome 197 (1992), pp. 4-27. http://geodesic.mathdoc.fr/item/ZNSL_1992_197_a0/
@article{ZNSL_1992_197_a0,
author = {M. A. Abdrachmanov},
title = {$L_2$-estimates for solutions of the general boundary-value problems for the equations with mixed parabolic-elliptic structure},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {4--27},
year = {1992},
volume = {197},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1992_197_a0/}
}
TY - JOUR
AU - M. A. Abdrachmanov
TI - $L_2$-estimates for solutions of the general boundary-value problems for the equations with mixed parabolic-elliptic structure
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1992
SP - 4
EP - 27
VL - 197
UR - http://geodesic.mathdoc.fr/item/ZNSL_1992_197_a0/
LA - ru
ID - ZNSL_1992_197_a0
ER -
%0 Journal Article
%A M. A. Abdrachmanov
%T $L_2$-estimates for solutions of the general boundary-value problems for the equations with mixed parabolic-elliptic structure
%J Zapiski Nauchnykh Seminarov POMI
%D 1992
%P 4-27
%V 197
%U http://geodesic.mathdoc.fr/item/ZNSL_1992_197_a0/
%G ru
%F ZNSL_1992_197_a0
$L_2$-estimates for solutions of the model boundary value problems — Cauchy problem and semispace problem — for linear equation $L\left(\frac\partial{\partial x}, \frac\partial{\partial t}\right)u=0$ in which operator $L$ is product $2b_1$-parabolic operator and $2b_2r$-elliptic operator ($b_1$, $b_2$, $r$ — integer numbers) are obtained.
