Results 41 to 50 of about 154 (95)
Hypoellipticity for a class of operators with multiple characteristics
, 2007 We study C∞ and analytic hypoellipticity for an invariant class of operators with multiple characteristics, which generalize the Gilioli–Treves ...
F. Nicola, MUGHETTI, MARCO
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, 2006 In this paper we consider the problem of global analytic and Gevrey hypoellipticity and solvability for a class of partial differential operators on a torus.
ALBANESE, Angela Anna, POPIVANOV P.
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Hypoellipticity in spaces of ultradistributions-Study of a model case
, 2012 In this work we study C (a)-hypoellipticity in spaces of ultradistributions for analytic linear partial differential operators. Our main tool is a new a-priori inequality, which is stated in terms of the behaviour of holomorphic functions on appropriate ...
Hanges, Nicholas, Cordaro, Paulo D.
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Remarks on Analytic Hypoellipticity
, 2002 We will compare the foIlowing ideas: analytic hypoeIlipticity on open subsets of Euclidean space; global analytic hypoeIlipticity; analytic hypoeIlipticity in the sense of germs.
Hanges, Nicholas
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Necessary and Sufficient Conditions for Hypoellipticity for a Class of Convolution Operators
, 1994 In this paper the Corwin's conjecture is proved, which says that if d is a function analytic near ∞, then the hypoellipticity of the convolution operator Ad, defined by for every u ∊ S'(ℝn), implies that P(x)/ logx → ∞ as x → ∞, where P(x) is the ...
Luo Xuebo
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Analytic hypoellipticity for sums of squares of vector fields
, 1998 We discuss the open problem of analytic hypoellipticity for sums of squares of vector fields, including some recent partial results and a conjecture of ...
Himonas, A.
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Global analytic regularity for structures of co-rank one
, 2008 We consider real analytic involutive structures V, of co-rank one, defined on a real analytic paracompact orientable manifold M. To each such structure we associate certain connected subsets of M which we call the level sets of V.
ZANI, Sergio Luis +1 more
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Necessity of a logarithmic estimate for hypoellipticity of some degenerately elliptic operators
, 2023 This paper extends a class of degenerate elliptic operators for which hypoellipticity requires more than a logarithmic gain of derivatives of a solution in every direction.
Korobenko, Lyudmila, Akhunov, Timur
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Analytic discs in symplectic spaces [PDF]
, 2001 We develop some symplectic techniques to control the behavior under symplectic transformation of analytic discs A of X = n tangent to a real generic submanifold R and contained in a wedge with edge R. We show that if A is a lift of A to T X and if is a
BARACCO, LUCA, ZAMPIERI, GIUSEPPE
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On a new method of proving Gevrey hypoellipticity for certain sums of squares
, 2016 We consider an operator being a sum of squares of vector fields. It has the form, p,r∈N, P(x,Dx,Dy,Dt)=Dx2+x2(p-1)(Dy-xrDt)2. This type of operator is C∞ hypoelliptic by Hörmander's theorem, [18].
BOVE, ANTONIO, MUGHETTI, MARCO
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