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Harnack inequalities and Gaussian estimates for a class of hypoelliptic operators
Author(s):
Andrea
Pascucci;
Sergio
Polidoro
Journal:
Trans. Amer. Math. Soc.
358
(2006),
4873-4893.
MSC (2000):
Primary 35K57, 35K65, 35K70
Posted:
June 9, 2006
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Additional information
Abstract:
We prove a global Harnack inequality for a class of degenerate evolution operators by repeatedly using an invariant local Harnack inequality. As a consequence we obtain an accurate Gaussian lower bound for the fundamental solution for some meaningful families of degenerate operators.
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Additional Information:
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/S0002-9947-06-04050-5
PII:
S 0002-9947(06)04050-5
Received by editor(s):
August 30, 2004
Posted:
June 9, 2006
Additional Notes:
This investigation was supported by the University of Bologna. Funds for selected research topics.
Copyright of article:
Copyright
2006,
American Mathematical Society
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