On the equivalence of heat kernel estimates and logarithmic Sobolev inequalities for the Hodge Laplacian

Nelia Charalambous

Type: Article

Publication Date: 2006-11-16

Citations: 4

DOI: https://doi.org/10.1016/j.jde.2006.10.007

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Locations

Journal of Differential Equations - View

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Works That Cite This (4)

Action	Title	Year	Authors
+ PDF Chat	Heat flow on 1-forms under lower Ricci bounds. Functional inequalities, spectral theory, and heat kernel	2022	Mathias Braun
+	On the spectrum of the Laplacian	2013	Nelia Charalambous Zhiqin Lu
+	The spectrum of the Laplacian on forms	2018	Nelia Charalambous Zhiqin Lu
+	The essential spectrum of the Laplacian	2012	Nelia Charalambous Zhiqin Lu

Works Cited by This (9)

Action	Title	Year	Authors
+	The Bochner Technique	2016	Peter Petersen
+ PDF Chat	Uniformly elliptic operators on Riemannian manifolds	1992	Laurent Saloff‐Coste
+	The Laplacian on a Riemannian Manifold	1997	Steven Rosenberg
+	On the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math> independence of the spectrum of the Hodge Laplacian on non-compact manifolds	2005	Nelia Charalambous
+	Analysis of the Laplacian on the complete Riemannian manifold	1983	Robert S. Strichartz
+	On the Upper Estimate of the Heat Kernel of a Complete Riemannian Manifold	1981	Siu Yuen Cheng Peter Li Shing‐Tung Yau
+	Heat Kernels and Spectral Theory	1989	E. B. Davies
+	Logarithmic Sobolev Inequalities	1975	Leonard Gross
+	Semigroup domination and vanishing theorems	1988	Steven Rosenberg