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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Harnack inequalities and Gaussian estimates for a class of hypoelliptic operators
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by Andrea Pascucci and Sergio Polidoro PDF
Trans. Amer. Math. Soc. 358 (2006), 4873-4893 Request permission

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
  • Received by editor(s): August 30, 2004
  • Published electronically: June 9, 2006
  • Additional Notes: This investigation was supported by the University of Bologna. Funds for selected research topics.
  • © Copyright 2006 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 358 (2006), 4873-4893
  • MSC (2000): Primary 35K57, 35K65, 35K70
  • DOI: https://doi.org/10.1090/S0002-9947-06-04050-5
  • MathSciNet review: 2231876