Poisson equation for differential forms on a symmetric space and applications

DOI10.1016/j.bulsci.2015.04.001zbMath1342.35081OpenAlexW2029064374MaRDI QIDQ281940

Noël Lohoué

Publication date: 11 May 2016

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2015.04.001

zbMATH Keywords

heat equationdifferential formsDe Rham-Hodge Laplacian

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) de Rham theory in global analysis (58A12) Hodge theory in global analysis (58A14) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Heat kernel (35K08)

Related Items (1)

On the \(L^{r}\) Hodge theory in complete non compact Riemannian manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(L^ 2\)-index and the Selberg trace formula
• Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces
• On the large time behavior of heat kernels on Lie groups
• Die Resolvente von Delta auf symmetrischen Räumen vom nichtkompakten Typ
• Heat kernel and Green function estimates on noncompact symmetric spaces
• Sobolev inequalities for the sublaplaciens of some unimodular groups
• Estimates for the heat kernel on differential forms on Riemannian symmetric spaces and applications
• The L^2-cohomology of negatively curved Riemannian symmetric spaces
• Estimation des projecteurs de De Rham Hodge de certaines variétés riemaniennes non compactes

This page was built for publication: Poisson equation for differential forms on a symmetric space and applications