Global Gradient Estimates for a General Type of Nonlinear Parabolic Equations

Cecilia Cavaterra, Serena Dipierro, Zu Gao, Enrico Valdinoci

Research output: Contribution to journalArticlepeer-review

Abstract

We provide global gradient estimates for solutions to a general type of nonlinear parabolic equations, possibly in a Riemannian geometry setting. Our result is new in comparison with the existing ones in the literature, in light of the validity of the estimates in the global domain, and it detects several additional regularity effects due to special parabolic data. Moreover, our result comprises a large number of nonlinear sources treated by a unified approach, and it recovers many classical results as special cases.

Original languageEnglish
Article number65
JournalJournal of Geometric Analysis
Volume32
Issue number2
DOIs
Publication statusPublished - Feb 2022

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