A note on bounded variation and heat semigroup on Riemannian manifolds

DOI10.1017/S000497270003954XzbMath1130.58016WikidataQ115336913 ScholiaQ115336913MaRDI QIDQ5756330

Giancarlo Mauceri, Andrea Carbonaro

Publication date: 4 September 2007

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemconformal metricconformal deformationSchouten tensor.

Mathematics Subject Classification ID

Heat equation (35K05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) General relativity (83C99) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Functions of bounded variation, generalizations (26A45)

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Cites Work

• Analysis of the Laplacian on a complete Riemannian manifold
• Su una teoria generale della misura \((r-1)\)-dimensionale in uno spazio ad \(r\) dimensioni
• Essential self-adjointness for semi-bounded magnetic Schrödinger operators on non-compact manifolds