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.
2003
282
1
396
409
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]
Pascucci, A.; Polidoro, Sergio
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/421273
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