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

2007 ◽  
Vol 233 (1) ◽  
pp. 291-312 ◽  
Author(s):  
Nelia Charalambous
Keyword(s):  
Heat Kernel ◽  
Sobolev Inequalities ◽  
Kernel Estimates ◽  
Logarithmic Sobolev Inequalities ◽  
Hodge Laplacian ◽  
Heat Kernel Estimates

scholarly journals Eigenvalues of Graphs and Sobolev Inequalities

1995 ◽  
Vol 4 (1) ◽  
pp. 11-25 ◽  
Author(s):  
F. R. K. Chung ◽  
S.-T. Yau
Keyword(s):  
Heat Kernel ◽  
Sobolev Inequalities ◽  
Kernel Estimates ◽  
Heat Kernel Estimates ◽  
Eigenvalues Of The Laplacian ◽  
Eigenvalues Of Graphs

We derive bounds for eigenvalues of the Laplacian of graphs using discrete versions of the Sobolev inequalities and heat kernel estimates.

Two-sided heat kernel estimates for censored stable-like processes

2009 ◽  
Vol 146 (3-4) ◽  
pp. 361-399 ◽  
Author(s):  
Zhen-Qing Chen ◽  
Panki Kim ◽  
Renming Song
Keyword(s):  
Heat Kernel ◽  
Kernel Estimates ◽  
Heat Kernel Estimates

Heat Kernel Estimates on Weighted Graphs

2000 ◽  
Vol 32 (4) ◽  
pp. 477-483 ◽  
Author(s):  
Bernd Metzger ◽  
Peter Stollmann
Keyword(s):  
Heat Kernel ◽  
Weighted Graphs ◽  
Kernel Estimates ◽  
Heat Kernel Estimates

scholarly journals Sharp Two-Sided Heat Kernel Estimates of Twisted Tubes and Applications

2014 ◽  
Vol 213 (1) ◽  
pp. 215-243 ◽  
Author(s):  
Gabriele Grillo ◽  
Hynek Kovařík ◽  
Yehuda Pinchover
Keyword(s):  
Heat Kernel ◽  
Kernel Estimates ◽  
Heat Kernel Estimates ◽  
Twisted Tubes
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