Positivity and strong ellipticity

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dc.creatorter Elst, A. F. M.
dc.creatorRobinson, Derek W.
dc.creatorZhu, Yueping
dc.date2006-01-13
dc.date.accessioned2026-07-07T06:58:55Z
dc.date.available2026-07-07T06:58:55Z
dc.descriptionWe 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.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0601347
dc.identifierhttp://arxiv.org/abs/math/0601347
dc.identifierProc. Amer. Math. Soc. 134 (2006), no. 3, 707-714
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107551
dc.subjectAnalysis of PDEs
dc.titlePositivity and strong ellipticity
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