Results 21 to 30 of about 435 (135)

Optimal Sobolev embeddings for the Ornstein-Uhlenbeck operator

Journal of Differential Equations, 2023
A comprehensive analysis of Sobolev-type inequalities for the Ornstein-Uhlenbeck operator in the Gauss space is offered. A unified approach is proposed, providing one with criteria for their validity in the class of rearrangement-invariant function norms.
Andrea Cianchi, Vít Musil, Luboš Pick
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Sobolev Spaces and Potential Spaces Associated to Hermite Polynomials Expansions

Extracta Mathematicae, 2018
The aim of this paper is to study the relation existing between potential spaces and Sobolev spaces, induced by the Ornstein-Uhlenbeck differential operator and associated to Hermite polynomials expansions, where we consider the multidimensional Gaussian
Iris A. López P.
doaj  

Qubit fidelity distribution under stochastic Schrödinger equations driven by classical noise

Physical Review Research
Environmental noise affecting controlled quantum systems is typically described by a dissipative Lindblad equation, which captures the system's average state through the density matrix ρ.
R. J. P. T. de Keijzer, L. Y. Visser, O. Tse, S. J. J. M. F. Kokkelmans   +3 more
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Radial selfsimilar solutions of a nonlinear Ornstein-Uhlenbeck equation

Electronic Journal of Differential Equations, 2007
This paper concerns the existence, uniqueness and asymptotic properties (as $r=|x|oinfty$) of radial self-similar solutions to the nonlinear Ornstein-Uhlenbeck equation [ v_t=Delta_p v+xcdot abla (|v|^{q-1}v) ] in $mathbb{R}^Nimes (0, +infty)$. Here $q>
Arij Bouzelmate, Abdelilah Gmira, Guillermo Reyes   +2 more
doaj  

One-side Liouville theorems under an exponential growth condition for Kolmogorov operators

Analysis and Geometry in Metric Spaces
It is known that for a possibly degenerate hypoelliptic Ornstein-Uhlenbeck (OU) operator L=12tr(QD2)+⟨Ax,D⟩=12div(QD)+⟨Ax,D⟩,x∈RN,L=\frac{1}{2}\hspace{0.1em}\text{tr}\hspace{0.1em}\left(Q{D}^{2})+\langle Ax,D\rangle =\frac{1}{2}\hspace{0.1em}\text{div ...
Priola Enrico
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The Maximal Operator Associated to a Nonsymmetric Ornstein–Uhlenbeck Semigroup [PDF]

Journal of Fourier Analysis and Applications, 2008
20 pages, to appear in J Fourier Anal Appl, available on line at http://www.springerlink ...
MAUCERI, GIANCARLO, NOSELLI L.
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On Gaussian interpolation inequalities

Comptes Rendus. Mathématique
This paper is devoted to Gaussian interpolation inequalities with endpoint cases corresponding to the Gaussian Poincaré and the logarithmic Sobolev inequalities, seen as limits in large dimensions of Gagliardo–Nirenberg–Sobolev inequalities on spheres ...
Brigati, Giovanni, Dolbeault, Jean, Simonov, Nikita   +2 more
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Computing eigenfunctions of the multidimensional Ornstein-Uhlenbeck operator

, 2021
We discuss approaches to computing eigenfunctions of the Ornstein--Uhlenbeck (OU) operator in more than two dimensions. While the spectrum of the OU operator and theoretical properties of its eigenfunctions have been well characterized in previous research, the practical computation of general eigenfunctions has not been resolved.
Zhang, Benjamin J., Sahai, Tuhin, Marzouk, Youssef M.   +2 more
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Differentiable perturbations of Ornstein-Uhlenbeck operators

, 2007
11 ...
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L 1-spectrum of Banach space valued Ornstein–Uhlenbeck operators [PDF]

Semigroup Forum, 2008
We characterize the $L^1(E; _\infty)$-spectrum of the Ornstein-Uhlenbeck operator, where $ _\infty$ is the invariant measure for the Ornstein-Uhlenbeck semigroup. The main result covers the general case of an infinite-dimensional Banach space E under the assumption that the point spectrum of drift operator $A^*$ is nonempty.
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