A Gaussian upper bound for the fundamental solutions of a class of ultraparabolic equations |
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| Authors: | Andrea Pascucci Sergio Polidoro |
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| Affiliation: | Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy |
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| Abstract: | We prove Gaussian estimates from above of the fundamental solutions to a class of ultraparabolic equations. These estimates are independent of the modulus of continuity of the coefficients and generalize the classical upper bounds by Aronson for uniformly parabolic equations. |
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| Keywords: | Ultraparabolic equations Fundamental solution Gaussian estimates |
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