Positivity and strong ellipticity

A.F.M. Elst, ter, D.W. Robinson, Y. Zhu

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)


We consider partial differential operators in divergence form on with a positive-semidefinite, symmetric, matrix of real -coefficients, and establish that 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.
Original languageEnglish
Pages (from-to)707-714
JournalProceedings of the American Mathematical Society
Issue number3
Publication statusPublished - 2006


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