A Generalization of Hörmander's Inequality-I

DOI10.1080/03605300008821521zbMath0986.35146OpenAlexW2051959928MaRDI QIDQ4951896

Alberto Parmeggiani, Cesare Parenti

Publication date: 1 May 2001

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300008821521

zbMATH Keywords

symplecticWeyl symbolHörmander's inequalitycharacteristic manifoldinvolutivegeneralized Hörmander inequalityselfadjoint pseudo-differential operator

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential operators (47G30)

Related Items (8)

Remarks on lower bounds for pseudo-differential operators ⋮ Corrections to ``L'inégalité de Melin-Hörmander en charactéristiques multiples ⋮ On the Generalization of Hörmander's Inequality ⋮ Lower Bound Estimates Without Transversal Ellipticity ⋮ Lower bounds for systems with double characteristics. ⋮ On the Cauchy Problem for a Class of Linear Weakly Hyperbolic Operators ⋮ A Remark on the Hörmander Inequality ⋮ A problem of transversal anisotropic ellipticity

Cites Work

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• Invariants associés à une classe d'opérateurs pseudodifférentiels et applications à l'hypoellipticité
• The Cauchy problem for differential equations with double characteristics
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• Etude spectrale d'operateurs hypoelliptiques a caracteristiques multiples. II
• Hypoelliptic operators with double characteristics and related pseudo-differential operators
• Necessary and sufficient conditions for the almost-positivity of certain 4th-order pseudodifferential operators. A generalization
• Parametrices for pseudodifferential operators with multiple characteristics
• Lower bounds for pseudo-differential operators

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