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On a conjecture of Treves: analytic hypoellipticity and Poisson strata

Indiana University Mathematics Journal, 1998
Dans cet article, les auteurs demontrent, en utilisant certaines bonnes estimations de type \(L^2\), des resultats d'analyticité (ou de régularité Gevrey) pour certaines classes d'opérateurs de L. Hörmander; Plus précisément: Resultat 1: L'operateur (somme de 4 carrés de champs de vecteurs): \[ P=D^2_1+ \bigl(D_2+ a(x_1,x_2,x_2) D_3\bigr)^2+ x^4_1D^2_3+
Bernardi, E., Bove, A., Tartakoff, D. S.
exaly   +2 more sources

The Proof Of The Nirenberg-Treves Conjecture According To N. Dencker And N. Lerner

2018
Since 1980 the remaining part of this conjecture has been to prove that if P is a pseudodifferential operator of principal type, then the equation P u = f has a distribution solution locally for every f ∈ C ∞ if the principal symbol p of P satisfies a condition called (Ψ).
Lars Hörmander, Hörmander Lars
exaly   +2 more sources

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