Schauder estimates for solutions of linear parabolic integro-differential equations

Tianling Jin, Jingang Xiong

Research output: Contribution to journalJournal Articlepeer-review

28 Citations (Scopus)

Abstract

We prove optimal pointwise Schauder estimates in the spatial variables for solutions of linear parabolic integro-differential equations. Optimal Hölder estimates in space-time for those spatial derivatives are also obtained.

Original languageEnglish
Pages (from-to)5977-5998
Number of pages22
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume35
Issue number12
DOIs
Publication statusPublished - 1 Dec 2015
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2015, Southwest Missouri State University. All rights reserved.

Keywords

  • Integro-differential equations
  • Schauder estimates

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