Results 71 to 80 of about 304 (131)

Harnack inequality for a subelliptic PDE in nondivergence form

, 2014
We consider subelliptic equations in non divergence form of the type $$ Lu =\sum_{i\geq j} a_{ij}X_iX_ju = 0 $$ where $X_j$ are the Grushin vector fields, and the matrix coefficient is uniformly elliptic. We obtain a scale invariant Harnack's inequality
MONTANARI, ANNAMARIA
core   +1 more source

Equations sous-elliptiques : contrôle, singularités et théorie spectrale

, 2021
In this thesis at the boundary between analysis and geometry, we study some subelliptic partial differential equations (PDEs) with modern tools coming from sub-Riemannian geometry and microlocal analysis.
Letrouit, Cyril
core  

Exact observability properties of subelliptic wave and Schrödinger equations

Séminaire de théorie spectrale et géométrie
In this survey paper, we report on recent works concerning exact observability (and, by duality, exact controllability) properties of subelliptic wave and Schrödinger-type equations. These results illustrate the slowdown of propagation in directions transverse to the horizontal distribution.
openaire   +2 more sources

Boundedness of weak solutions of degenerate quasilinear equations with rough coefficients

, 2012
We derive local boundedness estimates for weak solutions of a large class of second-order quasilinear equations. The structural assumptions imposed on an equation in the class allow vanishing of the quadratic form associated with its principal part and ...
S. Rodney, Wheeden, Richard L., D.D. Monticelli, R. L. Wheeden, MONTICELLI, DARIO DANIELE, Rodney, Scott   +5 more
core  

On positivity of certain systems of partial differential equations. [PDF]

Proc Natl Acad Sci U S A, 2007
Parmeggiani A.
europepmc   +1 more source

Yamabe-Type Equations on Carnot Groups

, 2017
This article is concerned with a class of elliptic equations on Carnot groups depending of one real positive parameter and involving a critical nonlinearity.
Repovs D, Molica Bisci G
core   +1 more source

Guide to nonlinear potential estimates. [PDF]

Bull Math Sci, 2014
Kuusi T, Mingione G.
europepmc   +1 more source

Multiplier ideal sheaves and existence of Kähler-Einstein metrics of positive scalar curvature. [PDF]

Proc Natl Acad Sci U S A, 1989
Nadel AM.
europepmc   +1 more source

Subelliptic equations : control, singularities and spectral theory

Equations sous-elliptiques : contrôle, singularités et théorie spectrale Dans cette thèse à la frontière entre analyse et géométrie, nous étudions des équations aux dérivées partielles (EDPs) sous-elliptiques en utilisant des outils récents de géométrie sous-Riemannienne et d'analyse microlocale.
openaire   +2 more sources

Small time asymptotics of diffusion processes

, 2007
We establish the short-time asymptotic behaviour of the Markovian semigroups associated with strongly local Dirichlet forms under very general hypotheses.
Robinson, DW, Sikora, A, ter Elst, AFM
core   +1 more source