Results 11 to 20 of about 1,209,225 (153)

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
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ON THE SMOOTHNESS OF SOLUTIONS OF HYPOELLIPTIC TYPE EQUATIONS

Scientific works/Elmi eserler
In this paper we study the smoothness of the solution of one class of hypoelliptic type equations in bounded G⊂Rn with a non-smooth ...
Alik Najafov, Aygun T. Omarova, Sain T.Alekberli   +2 more
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A probabilistic point of view for the Kolmogorov hypoelliptic equations

, 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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Gevrey Hypoellipticity for a Class of Kinetic Equations [PDF]

Communications in Partial Differential Equations, 2011
In this paper, we study the Gevrey regularity of weak solutions for a class of linear and semi-linear kinetic equations, which are the linear model of spatially inhomogeneous Boltzmann equations without an angular cutoff.
Chen, Hua, Li, Weixi, Xu, Chao-Jiang
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Rough hypoellipticity for the heat equation in Dirichlet spaces

Mathematische Nachrichten, 2023
AbstractThis paper aims at proving the local boundedness and continuity of solutions of the heat equation in the context of Dirichlet spaces under some rather weak additional assumptions. We consider symmetric local regular Dirichlet forms, which satisfy mild assumptions concerning (1) the existence of cut‐off functions, (2) a local ultracontractivity ...
Qi Hou, Laurent Saloff‐Coste
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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
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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

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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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