Schauder estimates for solutions of linear parabolic integro-differential equations

By Tianling Jin, Jingang Xiong. 2014

52 citations recorded by the source corpus.

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

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/c508eef7705389fce6aa4616e1738db445d39319

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In Applied Mathematics

1. Luis Silvestre
2. C. Imbert
3. Russell W. Schwab
4. Juan Luis V'azquez
5. Enrico Valdinoci
6. Xavier Ros-Oton
7. Luis Caffarelli
8. Pablo Raúl Stinga

Citations in the corpus

• The Schauder estimate for kinetic integral equations (2018, background): “Schauder estimates for integro-differential equations have been obtained in recent years, see [14, 11, 19, 20, 8, 3].”