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Matematicheskie Zametki, 1976, Volume 20, Issue 5, Pages 725–732 (Mi mzm7898)  
Coercive estimates for a class of differential operators

B. P. Paneyakh

All-Union Correspondence Institute of Mechanical Engineering
Full-text PDF (596 kB)
Abstract: 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
$$ \|u\|\le c\Bigl\|B\frac d{dt}u+t^kAu\Bigr\|. $$
Received: 24.03.1975
English version:
Mathematical Notes, 1976, Volume 20, Issue 5, Pages 965–969
DOI: https://doi.org/10.1007/BF01146920
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: B. P. Paneyakh, “Coercive estimates for a class of differential operators”, Mat. Zametki, 20:5 (1976), 725–732; Math. Notes, 20:5 (1976), 965–969
Citation in format AMSBIB
\Bibitem{Pan76}
\by B.~P.~Paneyakh
\paper Coercive estimates for a~class of differential operators
\jour Mat. Zametki
\yr 1976
\vol 20
\issue 5
\pages 725--732
\mathnet{http://mi.mathnet.ru/mzm7898}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=473288}
\zmath{https://zbmath.org/?q=an:0353.34007}
\transl
\jour Math. Notes
\yr 1976
\vol 20
\issue 5
\pages 965--969
\crossref{https://doi.org/10.1007/BF01146920}
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