English

Schauder estimates for solutions of linear parabolic integro-differential equations

Analysis of PDEs 2015-06-05 v3

Abstract

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

Keywords

Cite

@article{arxiv.1405.0755,
  title  = {Schauder estimates for solutions of linear parabolic integro-differential equations},
  author = {Tianling Jin and Jingang Xiong},
  journal= {arXiv preprint arXiv:1405.0755},
  year   = {2015}
}

Comments

Submitted, 26 pages