Results 21 to 30 of about 425 (156)
Approximate null-controllability with uniform cost for the hypoelliptic Ornstein-Uhlenbeck equations [PDF]
, 2023 We prove that the approximate null-controllability with uniform cost of the hypoelliptic Ornstein-Uhlenbeck equations posed on $\mathbb R^n$ is characterized by an integral thickness geometric condition on the control supports. We also provide associated
Jérémy Martin +3 more
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Boundedness of weak solutions to degenerate Kolmogorov equations of hypoelliptic type in bounded domains [PDF]
We establish the boundedness of weak subsolutions for a class of degenerate Kolmogorov equations of the hypoelliptic type, compatible with a homogeneous Lie group structure, within bounded product domains using the De Giorgi iteration.
Hou, Mingyi
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Propagation of Gevrey Regularity for a Class of Hypoelliptic Equations [PDF]
Transactions of the American Mathematical Society, 1996 We prove results on the propagation of Gevrey and analytic wave front sets for a class of C ∞
Bove, Antonio, Tartakoff, David S.
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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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Optimal control for parameter estimation in partially observed hypoelliptic stochastic differential equations [PDF]
, 2021 We deal with the problem of parameter estimation in stochastic differential equations (SDEs) in a partially observed framework. We aim to design a method working for both elliptic and hypoelliptic SDEs, the latters being characterized by degenerate ...
Clairon, Quentin, Samson, Adeline
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Bruno Pini Mathematical Analysis Seminar, 2016 For every bounded open set Ω in RN+1, we study the first boundary problem for a wide class of hypoelliptic evolution operators. The operators are assumed to be endowed with a well behaved global fundamental solution that allows us to construct a ...
Alessia E. Kogoj
doaj +1 more source
On an application of hypoellipticity to solutions of functional equations
Aequationes Mathematicae, 1996 9 pages ...
HARUKI, SHIGERU, Tsutsumi, Akira
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The Heat Equation with Singular Potentials. II: Hypoelliptic Case
Acta Applicandae Mathematicae, 2022 AbstractIn this paper we consider the heat equation with a strongly singular potential and show that it has a very weak solution. Our analysis is devoted to general hypoelliptic operators and is developed in the setting of graded Lie groups. The current work continues and extends the work (Altybay et al. in Appl. Math. Comput.
Marianna Chatzakou +2 more
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Hypoelliptic second order differential equations
Acta Mathematica, 1967 Lars Hörmander
exaly +4 more sources
FRACTIONAL ORDER KINETIC EQUATIONS AND HYPOELLIPTICITY [PDF]
Analysis and Applications, 2012 We give simple proofs of hypoelliptic estimates for some models of kinetic equations with a fractional order diffusion part. The proofs are based on energy estimates together with the previous ideas of Bouchut and Perthame.
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