Analysis of the Hodge Laplacian on the Heisenberg Group

Analysis of the Hodge Laplacian on the Heisenberg Group
Author: Detlef Muller
Publisher: American Mathematical Soc.
Total Pages: 104
Release: 2014-12-20
Genre: Mathematics
ISBN: 1470409399
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The authors consider the Hodge Laplacian \Delta on the Heisenberg group H_n, endowed with a left-invariant and U(n)-invariant Riemannian metric. For 0\le k\le 2n+1, let \Delta_k denote the Hodge Laplacian restricted to k-forms. In this paper they address three main, related questions: (1) whether the L^2 and L^p-Hodge decompositions, 1


Analysis of the Hodge Laplacian on the Heisenberg Group
Language: en
Pages: 104

Analysis of the Hodge Laplacian on the Heisenberg Group

Authors: Detlef Muller
Categories: Mathematics
Type: BOOK - Published: 2014-12-20 - Publisher: American Mathematical Soc.

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The authors consider the Hodge Laplacian \Delta on the Heisenberg group H_n, endowed with a left-invariant and U(n)-invariant Riemannian metric. For 0\le k\le 2
The Hodge-Laplacian
Language: en
Pages: 671

The Hodge-Laplacian

Authors: Dorina Mitrea
Categories: Mathematics
Type: BOOK - Published: 2016-10-10 - Publisher: Walter de Gruyter GmbH & Co KG

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The core of this monograph is the development of tools to derive well-posedness results in very general geometric settings for elliptic differential operators.
The Hodge-Laplacian
Language: en
Pages: 528

The Hodge-Laplacian

Authors: Dorina Mitrea
Categories: Mathematics
Type: BOOK - Published: 2016-10-10 - Publisher: Walter de Gruyter GmbH & Co KG

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The core of this monograph is the development of tools to derive well-posedness results in very general geometric settings for elliptic differential operators.
The Laplacian on a Riemannian Manifold
Language: en
Pages: 190

The Laplacian on a Riemannian Manifold

Authors: Steven Rosenberg
Categories: Mathematics
Type: BOOK - Published: 1997-01-09 - Publisher: Cambridge University Press

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This text on analysis of Riemannian manifolds is aimed at students who have had a first course in differentiable manifolds.
Layer Potentials, the Hodge Laplacian, and Global Boundary Problems in Nonsmooth Riemannian Manifolds
Language: en
Pages: 137

Layer Potentials, the Hodge Laplacian, and Global Boundary Problems in Nonsmooth Riemannian Manifolds

Authors: Dorina Mitrea
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: American Mathematical Soc.

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The general aim of the present monograph is to study boundary-value problems for second-order elliptic operators in Lipschitz sub domains of Riemannian manifold