A note on heat kernel estimates on weighted graphs with two-sided bounds on the weights.
Schmidt, Andreas U. (2002)
Applied Mathematics E-Notes [electronic only]
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Displaying similar documents to “Random walk on graphs with regular resistance and volume growth”
A note on heat kernel estimates on weighted graphs with two-sided bounds on the weights.
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Harnack inequalities on graphs
Thierry Delmotte (1997-1998)
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Monotonicity in time and stationary solutions for a quasilinear heat equation with source.
Victor A. Galaktionov, Sergey A. Posashkov (1991)
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Local sub-Gaussian estimates on graphs: The strongly recurrent case.
Teles, András (2001)
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A remark on a Harnack inequality for degenerate parabolic equations
Filippo Chiarenza, Raul Serapioni (1985)
Rendiconti del Seminario Matematico della Università di Padova
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On the relation between elliptic and parabolic Harnack inequalities
Waldemar Hebisch, Laurent Saloff-Coste (2001)
Annales de l’institut Fourier
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We show that, if a certain Sobolev inequality holds, then a scale-invariant elliptic Harnack inequality suffices to imply its a priori stronger parabolic counterpart. Neither the relative Sobolev inequality nor the elliptic Harnack inequality alone suffices to imply the parabolic Harnack inequality in question; both are necessary conditions. As an application, we show the equivalence between parabolic Harnack inequality for on , (i.e., for ) and elliptic Harnack inequality for ...
Harnack inequalities: an introduction.
Kassmann, Moritz (2007)
Boundary Value Problems [electronic only]
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