Transactions of the American Mathematical Society

Author(s): Andrea Pascucci; Sergio Polidoro
Journal: Trans. Amer. Math. Soc. 356 (2004), 4383-4394.
MSC (2000): Primary 35K57, 35K65, 35K70
Posted: January 16, 2004
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Abstract: We give a direct proof of the Harnack inequality for a class of degenerate evolution operators which contains the linearized prototypes of the Kolmogorov and Fokker-Planck operators. We also improve the known results in that we find explicitly the optimal constant of the inequality.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 35K57, 35K65, 35K70

Andrea Pascucci
Affiliation: Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy
Email: pascucci@dm.unibo.it

Sergio Polidoro
Affiliation: Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy
Email: polidoro@dm.unibo.it

DOI: 10.1090/S0002-9947-04-03407-5
PII: S 0002-9947(04)03407-5
Received by editor(s): May 6, 2003
Posted: January 16, 2004
Additional Notes: This work was supported by the University of Bologna, Funds for selected research topics
Copyright of article: Copyright 2004, American Mathematical Society

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