We prove Gaussian estimates from above of the fundamental solutions to a class of ultraparabolicequations. These estimates are independent of the modulus of continuity of the coefficients and generalizethe classical upper bounds by Aronson for uniformly parabolic equations.
A Gaussian upper bound for the fundamental solution of a class of ultraparabolic equations / Pascucci, A.; Polidoro, Sergio. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 282:1(2003), pp. 396-409. [10.1016/S0022-247X(03)00159-8]
A Gaussian upper bound for the fundamental solution of a class of ultraparabolic equations
POLIDORO, Sergio
2003
Abstract
We prove Gaussian estimates from above of the fundamental solutions to a class of ultraparabolicequations. These estimates are independent of the modulus of continuity of the coefficients and generalizethe classical upper bounds by Aronson for uniformly parabolic equations.
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