A Gaussian upper bound for the fundamental solutions of a class of ultraparabolic equations

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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. © 2003 Elsevier Science (USA). All rights reserved.

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Pascucci, A., & Polidoro, S. (2003). A Gaussian upper bound for the fundamental solutions of a class of ultraparabolic equations. Journal of Mathematical Analysis and Applications, 282(1), 396–409. https://doi.org/10.1016/S0022-247X(03)00159-8

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