Contraction semigroups of elliptic quadratic differential operators

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dc.creatorPravda-Starov, Karel
dc.date2007-05-07
dc.date.accessioned2026-07-07T07:59:48Z
dc.date.available2026-07-07T07:59:48Z
dc.descriptionWe study the contraction semigroups of elliptic quadratic differential operators. Elliptic quadratic differential operators are the non-selfadjoint operators defined in the Weyl quantization by complex-valued elliptic quadratic symbols. We establish in this paper that under the assumption of ellipticity, as soon as the real part of their Weyl symbols is a non-zero non-positive quadratic form, the norm of contraction semigroups generated by these operators decays exponentially in time.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/0705.0950
dc.identifierhttp://arxiv.org/abs/0705.0950
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128509
dc.subjectAnalysis of PDEs
dc.subject47D06, 47F05
dc.titleContraction semigroups of elliptic quadratic differential operators
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