Results 1 to 10 of about 1,367 (86)

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
doaj   +3 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

Cutting the loss of derivatives for solvability under condition (psi) [PDF]

, 2005
For a principal type pseudodifferential operator, we prove that condition (psi) implies local solvability with a loss of 3/2 derivatives. We use many elements of Dencker's paper on the proof of the Nirenberg-Treves conjecture and we provide some ...
Lerner, Nicolas
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On the solvability of systems of pseudodifferential operators [PDF]

, 2008
The paper studies the solvability for square systems of pseudodifferential operators. We assume that the system is of principal type, i.e., the principal symbol vanishes of first order on the kernel.
Dencker, Nils
core   +2 more sources

X-Ray and UV Orbital Phase Dependence in LMC X-3 [PDF]

, 2001
The black-hole binary LMC X-3 is known to be variable on time scales of days to years. We investigate X-ray and ultraviolet variability in the system as a function of the 1.7 day binary phase using a 6.4 day observation with the Rossi X-ray Timing ...
Alan P. Smale, Bradt H. V., Clarke D., Dolan J. F., Joseph F. Dolan, Mazeh T., Patricia T. Boyd, Simmons J. F. L., Treves A., van der Klis M., van der Klis M., van Paradijs J., Warren P. R.   +12 more
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Local solvability of a class of degenerate second order operators [PDF]

, 2017
In this paper we will first present some results about the local solvability property of a class of degenerate second order linear partial differential operators with smooth coefficients.
Federico, Serena
core   +4 more sources

Temperature evolution of magnetic structure of HoFeO$_3$ by single crystal neutron diffraction [PDF]

, 2016
We have investigated the temperature evolution of the magnetic structures of HoFeO$_3$ by single crystal neutron diffraction. The three different magnetic structures found as a function of temperature for \hfo\ are described by the magnetic groups Pb$'$n$
Belov K. P., Bornfreund R. E., Buchel nikov V. D., Hornreichand R. M., Kuo C.-Y., Lee J.-H., Shao M., Sirvardiere J., Tokunaga Y., Ya. B.   +9 more
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Some advances in analytic hypoellipticity

Bruno Pini Mathematical Analysis Seminar
We 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

On the Gevrey regularity for Sums of Squares of vector fields, study of some models

, 2018
The micro-local Gevrey regularity of a class of "sums of squares" with real analytic coefficients is studied in detail.
Chinni, Gregorio
core   +1 more source

On the local solvability of a class of degenerate second order operators with complex coefficients [PDF]

, 2018
We study the local solvability of a class of operators with multiple characteristics. The class considered here complements and extends the one previously studied in Federico and Parmeggiani (CPDEs 2016, Vol.
Federico, Serena, Parmeggiani, Alberto
core   +3 more sources