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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:282

Article

Pascucci, A ; Polidoro, S

关键词: ultraparabolic equations;    fundamental solution;    Gaussian estimates;   

DOI  :  10.1016/S0022-247X(03)00159-8

来源: Elsevier

【 摘 要 】

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

【 授权许可】

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