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Harnack's Inequality for Cooperative Weakly Coupled Elliptic Systems

dc.contributor.authorArapostathis, Aristotleen_US
dc.contributor.authorGhosh, Mrinal K.en_US
dc.contributor.authorMarcus, Steven I.en_US
dc.description.abstractWe consider cooperative, uniformly elliptic systems, with bounded coefficients and coupling in the zeroth-order terms. We establish two analogues of Harnack's inequality for this class of systems. A weak version is obtained under fairly general conditions, while imposing an irreducibility condition on the coupling coefficients we obtain a stronger version of the inequality. This irreducibility condition is also necessary for the existience of a Harnack constant for this class of systems. A Harnack inequality is also obtained for a class of superharmonic functions.en_US
dc.format.extent255507 bytes
dc.relation.ispartofseriesISR; TR 1997-69en_US
dc.subjectdistributed parameter systemsen_US
dc.subjectIntelligent Control Systemsen_US
dc.titleHarnack's Inequality for Cooperative Weakly Coupled Elliptic Systemsen_US
dc.typeTechnical Reporten_US

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