Schauder estimates for solutions of linear parabolic integro-differential equations

Tianling  Jin; Jingang  Xiong

doi:10.3934/dcds.2015.35.5977

Article Contents

2015, Volume 35, Issue 12: 5977-5998. Doi: 10.3934/dcds.2015.35.5977

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Schauder estimates for solutions of linear parabolic integro-differential equations

Tianling Jin^1, and
Jingang Xiong^2,

1.
Department of Mathematics, The University of Chicago, 5734 S. University Avenue, Chicago, IL 60637
2.
School of Mathematical Sciences, Beijing Normal University, Beijing, 100875

Received: April 2014

Revised: August 2014

Published: December 2015

Abstract / Introduction Related Papers Cited by

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.

Keywords:

Integro-differential equations,
Schauder estimates.

Mathematics Subject Classification: Primary: 35R09; Secondary: 35B65.

Citation:

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References

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