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.
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 [10.1016/S0022-247X(03)00159-8].
A Gaussian upper bound for the fundamental solutions of a class of ultraparabolic equations
Pascucci A.;Polidoro S.
2003
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.File in questo prodotto:
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