Global weighted Lorentz estimates for parabolic equations with measure via strong fractional maximal functions

The Anh Bui*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    Abstract

    In this paper, we prove a weighted norm inequality for the gradient of solutions to nonlinear parabolic equations with measure data via strong fractional maximal functions. It is worth noticing that our paper is the first one which studies the gradient estimates of solutions to such equations via strong fractional maximal functions.

    Original languageEnglish
    Pages (from-to)535-568
    Number of pages34
    JournalAnnali della Scuola Normale - Classe di Scienze
    Volume21
    DOIs
    Publication statusPublished - 2020

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