@article{TSG_1997-1998__16__217_0, author = {Delmotte, Thierry}, title = {Harnack inequalities on graphs}, journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie}, pages = {217--228}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {16}, year = {1997-1998}, zbl = {0938.60066}, language = {en}, url = {http://archive.numdam.org/item/TSG_1997-1998__16__217_0/} }
Delmotte, Thierry. Harnack inequalities on graphs. Séminaire de théorie spectrale et géométrie, Tome 16 (1997-1998), pp. 217-228. http://archive.numdam.org/item/TSG_1997-1998__16__217_0/
[1] Differential equations on Riemannian manifolds and their geometric applications, Comm. Pure Appl. Math., 28 ( 1975), 333-354. | MR | Zbl
, ,[2] A Harnack inequality for homogeneous graphs and subgraphs, Comm. in Analysis and Geom. 2 ( 1994), 628-639. | MR | Zbl
, ,.[3] Generalized Liouville properties of manifolds, Math. Res. Lett., 3, 6 ( 1996), 723-729. | MR | Zbl
, ,[4] Harmonic fonctions on manifolds, Preprint. | Zbl
, ,[5] Weyl type bounds for harmonic function, Preprint. | Zbl
, ,[6] Random walks on graphs with regular volume growth, GAFA, Geom. funct. anal., 8 ( 1998), 656-701. | MR | Zbl
, ,[7] Large deviations for heat kernels on graphs, J. London Math. Soc. (2), 47 ( 1993), 65-72. | MR | Zbl
.,[8] Sulla differenziabilita el'analiticita delle estremali degli integrali multipli regolari, Mem. Accad. Sci. Fis. Mat. 3,3 ( 1957), 25-43. | MR | Zbl
,[9] Inégalité de Harnack elliptique sur les graphes, Colloquium Mathematicum 72, 1 ( 1997), 19-37. | MR | Zbl
,[10] Estimations pour les chaînes de Markov réversibles, C.R. Acad. Sci. Paris 324, I ( 1997), 1053-1058. | MR | Zbl
,[11] Parabolic Harnack inequalities and estimates of Markov chains on graphs, To appear in Rev. Mat. Iberoamericana. | MR | Zbl
,[12] The heat equation on noncompact Riemannian manifolds, Math. USSR-Sb. 72 ( 1992), 47-77. | MR | Zbl
,[13] Gaussian estimates for Markov chains and random walks on groups; Ann. Probab., 21 (2) ( 1993), 673-709. | MR | Zbl
, ,[14] A strong Liouville theorem for p-harmonic fonctions on graphs, Ann. Acad. Sci. Fennicae Math., 22 ( 1997), 205-226. | MR | Zbl
, ,[15] On the parabolic kernel of the Schrödinger operator, Acta Math., 156 ( 1986), 153-201. | MR | Zbl
, ,[16] Harmonic sections of polynomial growth, Math. Res. Lett. 4, 1 ( 1997), 35-44. | MR | Zbl
,[17] On Harnacks Theorem for Elliptic Differential Equations, Comm. Pure Appl. Math. 14 ( 1961), 577-591. | MR | Zbl
,[18] A Harnack Inequality for Parabolic Differential Equations, Comm. Pure Appl. Math. 1 ( 1964), 101-134. Correction in 20 ( 1967), 231-236. | MR | Zbl
,[19] On a pointwise estimate for parabolic differential equations, Comm. Pure Appl. Math. 24 ( 1971), 727-740. | MR | Zbl
,[20] Continuity of solutions of parabolic and elliptic equations, Amer. J. Math., 80 1958, 931-954. | MR | Zbl
,[21] Heat kernels of graphs, J. London Math. Soc. (2), 47 ( 1993), 50-64. | MR | Zbl
,[22] A global Harnack inequality on graphs and some related consequences, Preprint.
, , ,[23] A note on Poincaré, Sobolev and Harnack inequalities, Internat. Math. Res. Notices 2 ( 1992), 27-38. | MR | Zbl
,[24] Parabolic Harnack inequality for divergence form second order differential operators, Potential analysis 4,4 ( 1995), 429-467. | MR | Zbl
,[25] Markov chain approximations to symmetric diffusions, Ann. I.H.P., 33, 5 ( 1997), 619-649. | Numdam | MR | Zbl
, ,[26] Nonlinear Analysis in Geometry, L'enseignement Mathématique, Série des Conférences de l'Union Mathématique Internationale 8, SRO-KUNDIG, Genève, 1986. | MR | Zbl
,