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Analytic Hypoellipticity and the Treves Conjecture
Bruno Pini Mathematical Analysis Seminar, 2016 We are concerned with the problem of the analytic hypoellipticity; precisely, we focus on the real analytic regularity of the solutions of sums of squares with real analytic coefficients. Treves conjecture states that an operator of this type is analytic
Marco Mughetti
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Analytic hypoellipticity for sums of squares and the Treves conjecture [PDF]
Journal of Functional Analysis, 2018 We are concerned with the problem of real analytic regularity of the solutions of sums of squares with real analytic coefficients. Treves conjecture states that an operator of this type is analytic hypoelliptic if and only if all the strata in the Poisson-Treves stratification are symplectic.
Antonio Bove +2 more
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The resolution of the Nirenberg–Treves conjecture [PDF]
Annals of Mathematics, 2006 We give a proof of the Nirenberg-Treves conjecture: that local solvability of principal-type pseudo-differential operators is equivalent to condition (Psi). This condition rules out sign changes from - to + of the imaginary part of the principal symbol along the oriented bicharacteristics of the real part.
Nils Dencker
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The proof of the Nirenberg-Treves conjecture [PDF]
Journées Équations Aux Dérivées Partielles, 2003 We prove the Nirenberg-Treves conjecture : that for principal type pseudo-differential operators local solvability is equivalent to condition ( Ψ ).
Nils Dencker
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Analytic hypoellipticity for sums of squares and the Treves conjecture, II [PDF]
Analysis and PDE, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonio Bove +2 more
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On the regularity of the solutions and of analytic vectors for “sums of squares”
Bruno Pini Mathematical Analysis Seminar, 2023 We present a brief survey on some recent results concerning the local and global regularity of the solutions for some classes/models of sums of squares of vector fields with real-valued real analytic coefficients of H"ormander type.
Gregorio Chinni
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Some advances in analytic hypoellipticity
Bruno Pini Mathematical Analysis SeminarWe present a brief survey on the theory of the real analytic regularity for the solutions to sums of squares of vector fields satisfying the Hörmander condition.
Marco Mughetti
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The resolution of the Nirenberg-Treves conjecture
, 2003 In this paper we give a proof of the Nirenberg-Treves conjecture: that local solvability of principal type pseudo-differential operators is equivalent to condition ($Ψ$). This condition rules out certain sign changes of the imaginary part of the principal symbol along the bicharacteristics of the real part.
openaire +2 more sources
Low-stress livestock handling protects cattle in a five-predator habitat. [PDF]
PeerJ, 2023 Louchouarn NX, Treves A.
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Remote memory in a Bayesian model of context fear conditioning (BaconREM). [PDF]
Front Behav Neurosci, 2023 Krasne FB, Fanselow MS.
europepmc +1 more source