Results 31 to 40 of about 1,209,225 (153)
Null-controllability of hypoelliptic quadratic differential equations [PDF]
, 2018 46 pagesInternational audienceWe study the null-controllability of parabolic equations associated to a general class of hypoelliptic quadratic differential operators.
Karel Pravda-Starov +3 more
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On the Dirichlet problem for hypoelliptic evolution equations: Perron–Wiener solution and a cone-type criterion [PDF]
, 2017 We show how to apply harmonic spaces potential theory in the study of the Dirichlet problem for a general class of evolution hypoelliptic partial differential equations of second order.
KOGOJ, ALESSIA ELISABETTA
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Hypoelliptic regularity in kinetic equations
Journal de Mathématiques Pures et Appliquées, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Remarks on hypoelliptic equations
Annales Henri LebesgueMany results of smooth hypoellipticity are available for scalar equations. Much remains to be done for systems and/or at different levels of regularity and in particular for L 1
Banica, Valeria, Burq, Nicolas
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The Gevrey hypoellipticity for kinetic 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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International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.Complex networked systems governed by nonlinear transport, feedback, and constrained allocation mechanisms often exhibit instability through the concentration of gradients, flows, or control effort along a small number of dominant directions. Classical stochastic forcing may regularize some such systems, but its stabilizing effect depends strongly on ...
Nam Anh Quach, Shikha Binwal
wiley +1 more source
Ergodicity of hypoeliptic SDEs driven by fractional Brownian motion [PDF]
, 2009 We demonstrate that stochastic differential equations (SDEs) driven by fractional Brownian motion with Hurst parameter H > 1/2 have similar ergodic properties as SDEs driven by standard Brownian motion.
Hairer, Martin, Pillai, Natesh S.
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper studies generalized Wijsman convergence for sequences of nonempty closed subsets of an idempotent bicomplex metric space. Let ρ = d1e1 + d2e2, where d1 and d2 are metrics on the same underlying set X. For a nonempty subset A of X, we define the bicomplex point‐to‐set distance by ρ(x, A) = d1(x, A)e1 + d2(x, A)e2.
Ameni Gargouri +4 more
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Liouville theorems in halfspaces for parabolic hypoelliptic equations
, 2006 We prove some one-side Liouville-type theorems in halfspaces for a class of evolution hypoelliptic equations. The operators we deal with are left translation invariant, and homogeneous of degree two, on homogeneous Lie groups on $mathbb{R}^{N+1}$
Ermanno Lanconelli +1 more
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Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation
Communications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2305-2353, December 2025.Abstract We consider the 3d$3d$ energy critical nonlinear Schrödinger equation with data distributed according to the Gaussian measure with covariance operator (1−Δ)−s$(1-\Delta)^{-s}$, where Δ$\Delta$ is the Laplace operator and s$s$ is sufficiently large. We prove that the flow sends full measure sets to full measure sets. We also discuss some simple
Chenmin Sun, Nikolay Tzvetkov
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