Results 21 to 30 of about 553 (167)
Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators [PDF]
, 2014 We study degenerate hypoelliptic Ornstein–Uhlenbeck operators in spaces with respect to invariant measures. The purpose of this article is to show how recent results on general quadratic operators apply to the study of degenerate hypoelliptic Ornstein ...
Pavliotis, Grigorios +8 more
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Some Remarks on Hypoelliptic Operators which are not Micro-hypoelliptic
Publications of the Research Institute for Mathematical Sciences, 1992 We give an example of hypoelliptic operators which are not micro- hypoelliptic. Non-micro-hypoellipticity of the example arises from the oscillation of the coefficient with a zero of infinite order.
Morimoto, Yoshinori, Morioka, Tatsushi
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Complex powers of hypoelliptic pseudodifferential operators [PDF]
, 2007 Complex powers of a class of hypoelliptic pseudodifferential operators in Rn, as well as their heat kernels are studied.
Buzano, Ernesto +3 more
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Anisotropic hypoelliptic estimates for Landau-type operators [PDF]
, 2011 We establish global hypoelliptic estimates for linear Landau-type operators. Linear Landau-type equations are a class of inhomogeneous kinetic equations with anisotropic diffusion whose study is motivated by the linearization of the Landau equation near ...
Hérau, F. +3 more
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Hypoellipticity in the complexes of pseudodifferential operators [PDF]
Proceedings of the American Mathematical Society, 1978 Sufficient conditions for the pseudodifferential operator defined on a complex to be hypoelliptic are investigated.
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Gelfand theory of pseudo differential operators and hypoelliptic operators [PDF]
, 1971 This paper investigates an algebra A \mathfrak {A} of pseudo differential operators generated by functions a ( x ) ∈ C ∞ (
Michael E. Taylor
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A characterization of hypoelliptic differential operators with variable coefficients [PDF]
, 1974 Let P P be a linear differential operator with coefficients in C ∞ ( Ω ) {C^\infty }(\Omega ) where Ω ⊂
R. E. White
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Theory of B(X)‐Module: Algebraic Module Structure of Generally Unbounded Infinitesimal Generators
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 The concept of logarithmic representation of infinitesimal generators is introduced, and it is applied to clarify the algebraic structure of bounded and unbounded infinitesimal generators. In particular, by means of the logarithmic representation, the bounded components can be extracted from generally unbounded infinitesimal generators.
Yoritaka Iwata, Ricardo Weder
wiley +1 more source
Hörmander’s Hypoelliptic Theorem for Nonlocal Operators [PDF]
Journal of Theoretical Probability, 2020 36pages
Zimo Hao, Xuhui Peng, Xicheng Zhang
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Global hypoellipticity for strongly invariant operators [PDF]
Journal of Mathematical Analysis and Applications, 2020 In this note, by analyzing the behavior at infinity of the matrix symbol of an invariant operator $P$ with respect to a fixed elliptic operator, we obtain a necessary and sufficient condition to guarantee that $P$ is globally hypoelliptic. We also investigate relations between the global hypoellipticity of $P$ and global subelliptic estimates.
Alexandre Kirilov, Wagner A.A. de Moraes
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