Geodesic
Gradient Estimates on Rd
Canadian mathematical bulletin, Tome 37 (1994) no. 4, pp. 560-570

Voir la notice de l'article provenant de la source Cambridge University Press

This paper uses both the maximum principle and coupling method to study gradient estimates of positive solutions to Lu = 0 on Rd, where with (aij ) uniformly positive definite and aij,bi € C1(Rd). We obtain some upper bounds of |∇u |/u and ∥∇u∥∞/∥u∥∞, which imply a Harnack inequality and improve the corresponding results proved in Cranston [4]. Besides, two examples show that our estimates can be sharp.
DOI : 10.4153/CMB-1994-083-5
Mots-clés : 58G32, 58C50, gradient estimate, coupling, diffusion process 
Wang, Feng-Yu. Gradient Estimates on Rd. Canadian mathematical bulletin, Tome 37 (1994) no. 4, pp. 560-570. doi: 10.4153/CMB-1994-083-5
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