Results 1 to 10 of about 179 (111)
Analytic Hypoellipticity and the Treves Conjecture [PDF]
Bruno Pini Mathematical Analysis Seminar, 2016 Bruno Pini Mathematical Analysis Seminar, Seminars ...
Marco Mughetti
doaj +4 more sources
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
exaly +6 more sources
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.
Albano, Paolo +2 more
exaly +5 more sources
Analytic hypoellipticity for sums of squares and the Treves conjecture, II [PDF]
Analysis & PDE, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BOVE, ANTONIO, MUGHETTI, MARCO
exaly +6 more sources
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
exaly +4 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 +4 more sources
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
doaj +1 more source
ANALYTIC HYPOELLIPTICITY for SUMS of SQUARES in the PRESENCE of SYMPLECTIC NON TREVES STRATA [PDF]
, 2020 In Albano, Bove and Mughetti [J. Funct. Anal. 274(10) (2018), 2725-2753]; Bove and Mughetti [Anal. PDE 10(7) (2017), 1613-1635] it was shown that Treves conjecture for the real analytic hypoellipticity of sums of squares operators does not hold.
Bove A., Mughetti M.
core +1 more source
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
doaj +1 more source
Suitable habitat of Himalayan wolf in Upper Mustang, Annapurna Conservation Area, Nepal
Wildlife Biology, EarlyView.Decades ago, the Himalayan wolf Canis lupus chanco, a genetically distinct sub‐species of the gray wolf Canis lupus, faced persecution by local communities in the Nepalese Himalayas. Recently, wolf populations have returned and recolonized, sparking concerns about conflicts over livestock depredation, and emphasizing the urgent need for comprehensive ...
Deu Bahadur Rana +5 more
wiley +1 more source