Results 11 to 20 of about 425 (156)

Hypoelliptic convolution equations in the space 𝒦’ₑ [PDF]

Transactions of the American Mathematical Society, 1986
We consider convolution equations in the space K e ′
Dae Hyeon Pahk
openaire   +3 more sources

Hypoelliptic regularity in kinetic equations [PDF]

Journal de Mathématiques Pures et Appliquées, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F Bouchut, Bouchut, F, F. Bouchut
openaire   +2 more sources

A probabilistic point of view for the Kolmogorov hypoelliptic equations [PDF]

, 2023
In this work, we propose a method for solving Kolmogorov hypoelliptic equations based on Fourier transform and Feynman–Kac formula. We first explain how the Feynman–Kac formula can be used to compute the fundamental solution to parabolic equations with ...
Clémentine Prieur, C. Prieur, José Rafael León, J. R. León, Pierre Etoré, P. Etoré   +5 more
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Very weak solutions to hypoelliptic wave equations [PDF]

, 2020
In this paper we study the Cauchy problem for the wave equations for hypoelliptic homogeneous left-invariant operators on graded Lie groups when the time-dependent non-negative propagation speed is regular, Holder, and distributional.
Yessirkegenov, N, Ruzhansky, M, Ruzhansky, Michael, Yessirkegenov, Nurgissa   +3 more
core   +1 more source

Enhanced dissipation and Taylor dispersion in higher‐dimensional parallel shear flows

Journal of the London Mathematical Society, Volume 108, Issue 4, Page 1358-1392, October 2023., 2023
Abstract We consider the evolution of a passive scalar advected by a parallel shear flow in an infinite cylinder with bounded cross section, in arbitrary space dimension. The essential parameters of the problem are the molecular diffusivity ν$\nu$, which is assumed to be small, and the wave number k$k$ in the streamwise direction, which can take ...
Michele Coti Zelati, Thierry Gallay
wiley   +1 more source

Time regularity for generalized Mehler semigroups

Mathematische Nachrichten, Volume 295, Issue 11, Page 2223-2245, November 2022., 2022
Abstract We study continuity and Hölder continuity of t↦Ptf$t\mapsto P_tf$, where Pt$P_t$ is a generalized Mehler semigroup in Cb(X)$C_b(X)$, the space of the continuous and bounded functions from a Banach space X to R$\mathbb {R}$, and f∈Cb(X)$f\in C_b(X)$.
Alessandra Lunardi
wiley   +1 more source

Manifold Markov chain Monte Carlo methods for Bayesian inference in diffusion models

Journal of the Royal Statistical Society: Series B (Statistical Methodology), Volume 84, Issue 4, Page 1229-1256, September 2022., 2022
Abstract Bayesian inference for nonlinear diffusions, observed at discrete times, is a challenging task that has prompted the development of a number of algorithms, mainly within the computational statistics community. We propose a new direction, and accompanying methodology—borrowing ideas from statistical physics and computational chemistry—for ...
Matthew M. Graham, Alexandre H. Thiery, Alexandros Beskos   +2 more
wiley   +1 more source

Analytic hypoellipticity of Keldysh operators

Proceedings of the London Mathematical Society, Volume 123, Issue 5, Page 498-516, November 2021., 2021
Abstract We consider Keldysh‐type operators, P=x1Dx12+a(x)Dx1+Q(x,Dx′), x=(x1,x′) with analytic coefficients, and with Q(x,Dx′) second order, principally real and elliptic in Dx′ for x near zero. We show that if Pu=f, u∈C∞, and f is analytic in a neighbourhood of 0, then u is analytic in a neighbourhood of 0.
Jeffrey Galkowski, Maciej Zworski
wiley   +1 more source

Almost Periodic Functions and Their Applications: A Survey of Results and Perspectives

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
The main aim of this survey article is to present several known results about vector‐valued almost periodic functions and their applications. We separately consider almost periodic functions depending on one real variable and almost periodic functions depending on two or more real variables.
Wei-Shih Du, Marko Kostić, Manuel Pinto, Antonio Masiello   +3 more
wiley   +1 more source

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, K. Pravda-starov, Ottobre, M.; id_orcid, Pravda-Starov, Karel, G. A. Pavliotis, Pravda-Starov, K., Pavliotis, G. A., Ottobre, Michela, M. Ottobre   +8 more
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