Results 51 to 60 of about 1,209,225 (153)
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
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Uniform Schauder estimates for regularized hypoelliptic equations
, 2009 In this paper we are concerned with a family of elliptic operators represented as sum of square vector fields and the limit operator is hypoelliptic. Here we establish Schauder's estimates, uniform with respect to the parameter , of solution of ...
MANFREDINI, MARIA
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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
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On the properties of the symbols of one class of hypoelliptic equations
Sibirskii zhurnal industrial'noi matematiki, 2019 We consider regular hypoelliptic operators and study some properties of completely regular polyhedra. Basing on the obtained properties, we find an upper bound for the functional dimension of the solution spaces of hypoelliptic equations.
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Relation between Growth and Regularity of Solutions of Hypoelliptic Equations [PDF]
Proceedings of the American Mathematical Society, 1988 For a class of linear partial differential equations with variable coefficients, it is shown that the Gevrey regularity of solutions depends on their growth at infinity.
M. Shafii-Mousavi, Z. Zielezny
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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
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Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract The aim of this paper is to prove the existence of Hadamard states for the Maxwell equations on any globally hyperbolic spacetime. This will be achieved by introducing a new gauge fixing condition, the Cauchy radiation gauge, that will allow to suppress all the unphysical degrees of freedom. The key ingredient for achieving this gauge is a new
Simone Murro, Gabriel Schmid
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ASYMPTOTIC EXPANSION OF THE DENSITY FOR HYPOELLIPTIC ROUGH DIFFERENTIAL EQUATION [PDF]
Nagoya Mathematical Journal, 2019 We study a rough differential equation driven by fractional Brownian motion with Hurst parameter $H$$(1/4<H\leqslant 1/2)$. Under Hörmander’s condition on the coefficient vector fields, the solution has a smooth density for each fixed time. Using Watanabe’s distributional Malliavin calculus, we obtain a short time full asymptotic expansion of the ...
Inahama, Yuzuru, Naganuma, Nobuaki
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Globally hypoelliptic and globally solvable first-order evolution equations
, 1979 We consider global hypoellipticity and global solvability of abstract first order evolution equations defined either on an interval or in the unit circle, and prove that it is equivalent to certain conditions bearing on the total symbol.
Jorge Hounie
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On curvature bounds in Lorentzian length spaces
Journal of the London Mathematical Society, Volume 110, Issue 2, August 2024.Abstract We introduce several new notions of (sectional) curvature bounds for Lorentzian pre‐length spaces: On the one hand, we provide convexity/concavity conditions for the (modified) time separation function, and, on the other hand, we study four‐point conditions, which are suitable also for the non‐intrinsic setting. Via these concepts, we are able
Tobias Beran +2 more
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