Estimates of the Green function and the initial-Dirichlet problem for the heat equation in sub-Riemannian spaces
DOI10.1007/s10231-017-0669-9zbMath1400.35155arXiv1603.02988OpenAlexW2963692747WikidataQ115385033 ScholiaQ115385033MaRDI QIDQ681680
Nicola Garofalo, Isidro Humberto Munive
Publication date: 13 February 2018
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.02988
heat equation for Hörmander-type operatorsinitial-Dirichlet problemreverse holder inequality for the Poisson kernel
Initial-boundary value problems for second-order parabolic equations (35K20) Integral representations of solutions to PDEs (35C15) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)
Related Items (1)
Cites Work
- Potential analysis for a class of diffusion equations: a Gaussian bounds approach
- Interior Cauchy-Schauder estimates for the heat flow in Carnot-Carathéodory spaces
- Balls and metrics defined by vector fields. I: Basic properties
- The Dirichlet problem for the Kohn Laplacian on the Heisenberg group. I
- Boundary behavior of nonnegative solutions of subelliptic equations in NTA domains for Carnot-Carathéodory metrics
- A version of a theorem of Dahlberg for the subelliptic Dirichlet problem
- The geometric Sobolev embedding for vector fields and the isoperimetric inequality
- Boundary behavior of non-negative solutions of the heat equation in sub-Riemannian spaces
- Ahlfors type estimates for perimeter measures in Carnot-Carathéodory spaces
- Hypoelliptic second order differential equations
- Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
- Un problème aux limites pour une classe d'opérateurs hypoelliptiques du second ordre. (A problem on the limits for a class of second order hypoelliptic operators)
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- Non-divergence form parabolic equations associated with non-commuting vector fields: boundary behavior of nonnegative solutions
- Estimates of Caloric Measure and the Initial-Dirichlet Problem for the Heat Equation in Lipschitz Cylinders
- Non-divergence equations structured on Hörmander vector fields: heat kernels and Harnack inequalities
- Weighted norm inequalities for maximal functions and singular integrals
- Properties of harmonic measures in the Dirichlet problem for nilpotent Lie groups of Heisenberg type
- Non-tangentially accessible domains for vector fields
- Non‐coercive boundary value problems
- Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces
- Mutual Absolute Continuity of Harmonic and Surface Measures for Hormander Type Operators
- [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
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