Abstract
A description is given of all matrix differential operators of the form d/dt + tkA, satisfying in L2(Rn) the coercive estimate $$\left\| {\frac{d}{{dt}}u} \right\| \le c\left\| {B\frac{d}{{dt}}u + t^k Au} \right\|$$ and the estimate $$\left\| u \right\| \le c\left\| {B\frac{d}{{dt}}u + t^k Au} \right\|.$$ .
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