scholarly journals Critical heat kernel estimates for Schrödinger operators via Hardy–Sobolev inequalities

2004 ◽  
Vol 208 (1) ◽  
pp. 1-30 ◽  
Author(s):  
G. Barbatis ◽  
S. Filippas ◽  
A. Tertikas
Keyword(s):  
Heat Kernel ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Sobolev Inequalities ◽  
Kernel Estimates ◽  
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
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