Results 51 to 60 of about 4,782 (151)
On linearization and uniqueness of preduals
Mathematische Nachrichten, Volume 298, Issue 3, Page 955-975, March 2025.Abstract We study strong linearizations and the uniqueness of preduals of locally convex Hausdorff spaces of scalar‐valued functions. Strong linearizations are special preduals. A locally convex Hausdorff space F(Ω)$\mathcal {F}(\Omega)$ of scalar‐valued functions on a nonempty set Ω$\Omega$ is said to admit a strong linearization if there are a ...
Karsten Kruse
wiley +1 more source
A comparison principle for nonlinear heat Rockland operators on graded groups
Bulletin of the London Mathematical Society, Volume 50, Issue 5, Page 753-758, October 2018., 2018 Abstract In this note we show a comparison principle for nonlinear heat Rockland operators on graded groups. We give a simple proof for it using purely algebraic relations. As an application of the established comparison principle we prove the global in t‐boundedness of solutions for a class of nonlinear equations for the heat p‐sub‐Laplacian on ...
Michael Ruzhansky, Durvudkhan Suragan
wiley +1 more source
ANALYTIC HYPOELLIPTICITY FOR SUMS OF SQUARES IN THE PRESENCE OF SYMPLECTIC NON TREVES STRATA
Journal of the Institute of Mathematics of Jussieu, 2019 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.
A. Bove, M. Mughetti
semanticscholar +1 more source
Bounds on Riesz Means of the Eigenvalues for Baouendi–Grushin Type Operators
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The aim of this paper is to consider spectral inequalities of a class of Baouendi–Grushin type operators in cylinders. Such operators are hypoelliptic and we obtain non‐Weyl type inequalities depending on the rate of the degeneracy. We also give an example where all eigenvalues and eigenfunctions are computed explicitly.
Alaa Aljahili, Ari Laptev, Shikha Binwal
wiley +1 more source
Analytic Hypoellipticity in the Presence of Lower Order Terms
, 2006 We consider a second order operator with analytic coefficients whose principal symbol vanishes exactly to order two on a symplectic real analytic manifold.
Albano, Paolo +2 more
core +1 more source
Analytic Hypoellipticity for Sums of Squares and the Treves Conjecture [PDF]
, 2016 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 ...
P. Albano, A. Bove, M. Mughetti
semanticscholar +1 more source
Dunkl convolution and elliptic regularity for Dunkl operators
Mathematische Nachrichten, Volume 297, Issue 12, Page 4416-4436, December 2024.Abstract We discuss in which cases the Dunkl convolution u∗kv$u*_kv$ of distributions u,v$u,v$, possibly both with non‐compact support, can be defined and study its analytic properties. We prove results on the (singular‐)support of Dunkl convolutions.
Dominik Brennecken
wiley +1 more source
Hypoellipticity and Non Hypoellipticity for Sums of Squares of Complex Vector Fields
Bruno Pini Mathematical Analysis Seminar, 2011 In this talk we give a report on a paper where we consider a model sum of squares of planar complex vector fields, being close to Kohn's operator but with a point singularity.
Antonio Bove
doaj
Enhanced Dissipation, Hypoellipticity, and Anomalous Small Noise Inviscid Limits in Shear Flows [PDF]
, 2015 We analyze the decay and instant regularization properties of the evolution semigroups generated by two-dimensional drift-diffusion equations in which the scalar is advected by a shear flow and dissipated by full or partial diffusion.
J. Bedrossian, Michele Coti Zelati
semanticscholar +1 more source
Singularities of Hypoelliptic Green Functions [PDF]
Potential Analysis, 1998 This paper is devoted to a precise description of the singularity near the diagonal of the Green function associated to a hypoelliptic operator using a probabilistic approach. Examples and some applications to potential theory are given.
Ben Arous, Gerard, Gradinaru, Mihai
openaire +3 more sources