Geodesic
Coercive estimates for a~class of differential operators
Matematičeskie zametki, Tome 20 (1976) no. 5, pp. 725-732

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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 $$ \|u\|\le c\Bigl\|B\frac d{dt}u+t^kAu\Bigr\|. $$ 
@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},
     publisher = {mathdoc},
     volume = {20},
     number = {5},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_5_a11/}
}
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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/