Results 71 to 80 of about 553 (167)

Weighted $L^p$-Liouville theorems for hypoelliptic partial differential operators on Lie groups [PDF]

open access: yes, 2016
We prove weighted Lp-Liouville theorems for a class of second order hypoelliptic partial differential operators L on Lie groups whose underlying manifold is n-dimensional space. We show that a natural weight is the right-invariant measure Hˇ of .
Bonfiglioli, Andrea   +1 more
core   +1 more source

Harnack inequality and no-arbitrage bounds for self-financing portfolios [PDF]

open access: yes
We give a direct proof of the Harnack inequality for a class of Kolmogorov operators associated with a linear SDE and we find the explicit expression of the optimal Harnack constant.
Polidoro, Sergio   +2 more
core   +1 more source

Hypoelliptic Laplacian and Orbital Integrals (AM-177) [PDF]

open access: yes, 2011
This book uses the hypoelliptic Laplacian to evaluate semisimple orbital integrals in a formalism that unifies index theory and the trace formula. The hypoelliptic Laplacian is a family of operators that is supposed to interpolate between the ordinary ...
Jean-Michel Bismut
core   +1 more source

Schauder estimates on bounded domains for KFP operators with coefficients measurable in time and Hölder continuous in space

open access: yesAnalysis and Geometry in Metric Spaces
We consider degenerate Kolmogorov-Fokker-Planck operators ℒu=∑i,j=1qaij(x,t)uxixj+∑k,j=1Nbjkxkuxj−ut,{\mathcal{ {\mathcal L} }}u=\mathop{\sum }\limits_{i,j=1}^{q}{a}_{ij}\left(x,t){u}_{{x}_{i}{x}_{j}}+\mathop{\sum }\limits_{k,j=1}^{N}{b}_{jk}{x}_{k}{u}_{{
Biagi Stefano, Bramanti Marco
doaj   +1 more source

Bismut hypoelliptic Laplacians for manifolds with boundaries [PDF]

open access: yes, 2021
Boundary conditions for Bismut's hypoelliptic Laplacian which naturally correspond to Dirichlet and Neumann boundary conditions for Hodge Laplacians are considered.
Shen, Shu, Nier, Francis
core  

Inverse source problems for positive operators. I: Hypoelliptic diffusion and subdiffusion equations [PDF]

open access: yes, 2019
A class of inverse problems for restoring the right-hand side of a parabolic equation for a large class of positive operators with discrete spectrum is considered.
Tokmagambetov, Niyaz   +6 more
core   +1 more source

Graded hypoellipticity of BGG sequences. [PDF]

open access: yesAnn Glob Anal Geom (Dordr), 2022
Dave S, Haller S.
europepmc   +1 more source

Hypoelliptic convolution equations in the space 𝒦’ₑ [PDF]

open access: yes, 1986
We consider convolution equations in the space K e ′ \mathcal {K}_e’ of distributions which "grow" no faster than exp ⁡ ( e
Dae Hyeon Pahk
core   +1 more source

Semiclassical hypoelliptic estimates with a loss of many derivatives [PDF]

open access: yes, 2014
International audienceWe study the pseudospectral properties of general pseudodifferential operators around a doubly characteristic point and provide necessary and sufficient conditions for semiclassical hypoelliptic a priori estimates with a loss of ...
Parmeggiani, Alberto   +2 more
core   +1 more source

Liouville theorems in halfspaces for parabolic hypoelliptic equations [PDF]

open access: yes, 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 $mathbb{R}^{N+1}$
Lanconelli, Ermanno   +2 more
core   +1 more source

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