Matematičeskie zametki, Tome 20 (1976) no. 5, pp. 725-732
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B. P. Paneyakh. Coercive estimates for a class of differential operators. Matematičeskie zametki, Tome 20 (1976) no. 5, pp. 725-732. http://geodesic.mathdoc.fr/item/MZM_1976_20_5_a11/
@article{MZM_1976_20_5_a11,
author = {B. P. Paneyakh},
title = {Coercive estimates for a~class of differential operators},
journal = {Matemati\v{c}eskie zametki},
pages = {725--732},
year = {1976},
volume = {20},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_5_a11/}
}
TY - JOUR
AU - B. P. Paneyakh
TI - Coercive estimates for a class of differential operators
JO - Matematičeskie zametki
PY - 1976
SP - 725
EP - 732
VL - 20
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1976_20_5_a11/
LA - ru
ID - MZM_1976_20_5_a11
ER -
%0 Journal Article
%A B. P. Paneyakh
%T Coercive estimates for a class of differential operators
%J Matematičeskie zametki
%D 1976
%P 725-732
%V 20
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1976_20_5_a11/
%G ru
%F MZM_1976_20_5_a11
A description is given of all matrix differential operators of the form $B\frac d{dt}+t^kA$, satisfying in $L_2(R^n)$ the coercive estimate $$ \Bigl\|\frac d{dt}u\Bigr\|\le c\Bigl\|B\frac d{dt}u+t^kAu\Bigr\| $$ and the estimate $$ \|u\|\le c\Bigl\|B\frac d{dt}u+t^kAu\Bigr\|. $$
