A bio-inspired geometric model for sound reconstruction. [PDF]
J Math Neurosci, 2021 Boscain U +3 more
europepmc +1 more source
One-side Liouville theorems for a class of hypoelliptic ultraparabolic equations [PDF]
, 2005 A one-side Liouville Theorem is proved for second order hypoelliptic operators homogenous with respect to a group of ...
LANCONELLI, ERMANNO +4 more
core +1 more source
On the hypoellipticity of convolution equations in the ultradistribution spaces of 𝐿^{𝑞} growth [PDF]
Proceedings of the American Mathematical Society, 1994 We consider convolution equations in the ultradistribution spaces D
openaire +1 more source
Harnack Inequality for Hypoelliptic Second Order Partial Differential Operators [PDF]
, 2016 We consider non-negative solutions (Formula presented.) of second order hypoelliptic equations(Formula presented.) where Ω is a bounded open subset of (Formula presented.) and x denotes the point of Ω.
Kogoj, Alessia E +2 more
core +1 more source
A Cortical-Inspired Sub-Riemannian Model for Poggendorff-Type Visual Illusions. [PDF]
J Imaging, 2021 Baspinar E +3 more
europepmc +1 more source
Approximation of SDEs: a stochastic sewing approach. [PDF]
Probab Theory Relat Fields, 2021 Butkovsky O, Dareiotis K, Gerencsér M.
europepmc +1 more source
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 +1 more source
Analytic Torsion of Generic Rank Two Distributions in Dimension Five. [PDF]
J Geom Anal, 2022 Haller S.
europepmc +1 more source
On a class of hypoelliptic evolution operators [PDF]
, 1994 We show that Hypoelliptic Kolmogorov equations are invariant with respect to a suitable Lie group structure. We prove a Harnack inequality which is invariant with respet to the Lie group structure.
E. Lanconelli, POLIDORO, Sergio
core
A variational principle for hypoelliptic equations with constant coefficients
, 2020 A variational method for solving hypoelliptic equations with constant coefficients of the following type: \[ \sum_{| \alpha | \leq m}a_{\alpha} D^{\alpha} u(x)=g(x),\quad x\in \Omega \subset R^ n;\quad \frac{\partial^ ju}{\partial n^ j}=0,\quad j=0,1,...,K,\quad x\in \partial \Omega. \] (\(\Omega\) is a bounded domain) is presented.
openaire +2 more sources