Results 21 to 30 of about 3,513,590 (164)
Tunneling estimates and approximate controllability for hypoelliptic equations [PDF]
Memoirs of the American Mathematical Society, 2017 This memoir is concerned with quantitative unique continuation estimates for equations involving a “sum of squares” operator L \mathcal {L} on a compact manifold M \mathcal {M} assuming:
C. Laurent, Matthieu L'eautaud
semanticscholar +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 +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
Hypoelliptic multiscale Langevin diffusions: Large deviations, invariant measures and small mass asymptotics [PDF]
, 2017 We consider a general class of non-gradient hypoelliptic Langevin diffusions and study two related questions. The first one is large deviations for hypoelliptic multiscale diffusions.
Hu, Wenqing, Spiliopoulos, Konstantinos
core +3 more sources
Semi-local behaviour of non-local hypoelliptic equations: Boltzmann [PDF]
Kinetic and Related ModelsThe purpose of this note is to demonstrate the announced result in [Loher, The Strong Harnack inequality for the Boltzmann equation, S\'eminaire Laurent Schwartz proceeding] by filling the gap in the proof sketch.
Am'elie Loher
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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 +3 more
wiley +1 more source
A chain rule for a class of evolutive nonlocal hypoelliptic equations [PDF]
, 2019 We prove a chain rule of local type for a class of fractional hypoelliptic equations of Kolmogorov-Fokker-Planck type. We introduce a semigroup based notion of nonlocal \emph{carre du champ} which works successfully in situations in which the ...
Federico Buseghin, N. Garofalo
semanticscholar +1 more source
Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term [PDF]
, 2005 We prove a Harnack inequality for the positive solutions of ultraparabolic equations of the type L u + V u= 0, where L is a linear second order hypoelliptic operator and V belongs to a class of functions of Stummel-Kato type.
Polidoro, Sergio +1 more
core +1 more source
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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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.
openaire +2 more sources