Mathematics – Analysis of PDEs
Scientific paper
2006-01-13
Proc. Amer. Math. Soc. 134 (2006), no. 3, 707-714
Mathematics
Analysis of PDEs
9 pages
Scientific paper
We consider second-order partial differential operators $H$ in divergence
form on $\Ri^d$ with a positive-semidefinite, symmetric, matrix $C$ of real
$L_\infty$-coefficients and establish that $H$ is strongly elliptic if and only
if the associated semigroup kernel satisfies local lower bounds, or, if and
only if the kernel satisfies Gaussian upper and lower bounds.
Robinson Derek W.
ter Elst F. M. A.
Zhu Yueping
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