Results 91 to 100 of about 1,209,225 (153)
Semi-local behaviour of non-local hypoelliptic equations: divergence form [PDF]
We derive the Strong Harnack inequality for a class of hypoelliptic integro-differential equations in divergence form. The proof is based on a priori estimates, and as such extends the first non-stochastic approach of the non-local parabolic Strong ...
Loher, Amélie
core
Some properties of solutions to weakly hypoelliptic equations
, 2012 A linear differential operator L is called weakly hypoelliptic if any local solution u of Lu = 0 is smooth. We allow for systems, i.e. the coefficients may be matrices, not necessarily of square size.
Bär, Christian
core
Tunneling estimates and approximate controllability for hypoelliptic equations
, 2018 This article is concerned with quantitative unique continuation estimates for equations involving a " sum of squares " operator L on a compact manifold M assuming: (i) the Chow-Rashevski-Hörmander condition ensuring the hypoellipticity of L, and (ii) the
Laurent, Camille +3 more
core +1 more source
Poincaré inequality and quantitative De Giorgi method for hypoelliptic operators
We propose a systematic approach based on trajectories to prove a Poincaré inequality for weak non-negative sub-solutions to hypoelliptic equations with an arbitrary number of Hörmander commutators, both in the local and in the non-local case.
Francesca Anceschi +5 more
core +2 more sources
Fractional order kinetic equations and hypoellipticity
, 2011 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 F. Bouchut and B.
Alexandre, Radjesvarane
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Joseph Fourier 250th Birthday: Modern Fourier Analysis and Fourier Heat Equation in Information Sciences for the XXIst Century. [PDF]
Entropy (Basel), 2019 Barbaresco F, Gazeau JP.
europepmc +1 more source
The hypoelliptic Laplacian and Ray-Singer metrics
, 2008 This book presents the analytic foundations to the theory of the hypoelliptic Laplacian. The hypoelliptic Laplacian, a second-order operator acting on the cotangent bundle of a compact manifold, is supposed to interpolate between the classical Laplacian ...
Lebeau, Gilles, Bismut, Jean-Michel
core
Using Perturbed Underdamped Langevin Dynamics to Efficiently Sample from Probability Distributions. [PDF]
J Stat Phys, 2017 Duncan AB, Nüsken N, Pavliotis GA.
europepmc +1 more source
Noncommutative topology and the world's simplest index theorem. [PDF]
Proc Natl Acad Sci U S A, 2010 van Erp E.
europepmc +1 more source